Projectile motion Definition and 1000 Threads

Hello, Could someone please check my answers to this physics problem? All my work and equations are clearly shown in the pictures below. If I got the problem wrong, please provide me with some suggestions as to how I can get it right . I'm not expecting anyone to just give me the answers :)...

1- A person throws an egg directly upward with an initial speed of 27.4 m/s. When the person throws the egg it is located 1.36 m above the ground at the exact moment of release. The effects of air-resistance on the egg can be ignored. (Take the moment of release as t = 0). a. What is the egg's...

Homework Statement There are two cliffs separated by 40 meters (horizontal displacement). An arrow is shot from a bow at an angle and a velocity of 90 m/s. The arrow takes 0.75 seconds to arrive at the other cliff. What is the angle at which the arrow was released? Neglect air resistance...

Homework Statement A ball is thrown with initial speed v0 up an inclined plane. The inclined plane makes an angle of π/6 above the horizontal line and the ball is launched at an angle θ above the inclined plane. No air resistance in this problem. (a) How long does the ball stay in the air? (b)...

Homework Statement [/B] You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 21.0 m below the point where the rock left your...

Homework Statement Ok, so I am attempting to solve a projectile motion problem involving air resistance that requires me to find the total x-distance the projectile traverses before landing again. Given: \\ m=0.7\text{kg} \\ k=0.01 \frac{\text{kg}}{\text{m}} \\ \theta=30 \degree Homework...

Homework Statement "a clown is shot of a cliff of height H at an angle theta and speed v. At the base of the cliff his friends are in a clown car. They start accelerating from rest one second after he is shot from the cannon. Assuming their car has constant acceleration, what is the...

Homework Statement The Zacchini family was renowned for their human-cannonball act in which a family member was shot from a cannon using either elastic bands or compressed air.In one version of the act,Emanuel Zacchini was shot over three Ferris wheels to land in a net at same height...

Homework Statement A ball is thrown at the edge of the roof of a building in a direction at an "alpha" angle above the horizontal. It landed 5 seconds later at 50 meters from the building. The maximum height reached by the ball during its trajectory is 20 meters above the roof. Find The...

Homework Statement 1. A diver jumps from a height of 10m leaving with a velocity of 8m/s find the time for which the diver is in the air and the speed at which the diver enters the water? 2. A ball is launched from point A on a horizontal plane with an angle of 55*. It passes two walls both 2m...

Homework Statement A golfer strikes a golf ball at an angle of 17 degrees above the horizontal. With what velocity must the ball be hit to reach the green which is a horizontal distance of 250 m from the golfer? It is at the same height as the tee. Homework Equations trig equations...

Homework Statement The Great Projecto is fired from a cannon at a velocity of 29.8 m/s at an angle of 50.4 degrees. He lands in a net which is 2.0 m above his starting elevation. What is his velocity when he hits the net? Homework Equations sin=opp/hyp cos=adj/hyp The Attempt at a Solution...

Homework Statement A basketball player throws the ball at a 60° angle above the horizontal to a hoop which is located a horizontal distance L = 2.8 m from the point of release and at a height h = 0.4 m above it. What is the required speed if the basketball is to reach the hoop? Homework...

Homework Statement If an object had been projected horizontally with the same magnitude as in the depicted situation, how would the motion compare with that of the object in the diagram? (I have drawn the diagram in my attachment and have done questions c and d but I don't understand question...

A bird is flying through the air with an air speed of 12.6 m/s heading 27.7° west of north. It is a windy day with the wind blowing at 8.95 m/s heading 12.5° south of west. What is the velocity of the bird as seen by a person on the ground? Note: I keep doing this question but my answer (the...

Homework Statement trying to figure out how to calculate the angle of release needed to shoot a basketball in a rim. Here's the data I have so far: distance from shooter to rim: 6.28m height of rim: 3m height of shooter: 1.75m Initial velocity at time of release: 8.68 m/s ( hypotenuse of...

HOMEWORK SUBMITTED IN WRONG FORUM, SO NO TEMPLATE I uploaded an image of the problem, it seems to be fairly straight forward. However, my textbook indicates the answer as being 6 m/s, I am consistently getting 3 m/s. Any help would be appreciated! Because there is no air resistance, the...

Homework Statement A kicker wishes to kick a field goal, so he sets the ball on the ground 30 yards (27m) from the goal. Assuming he kicks the ball at an angle of 45 degrees and a speed of 27m/s, what is the height of the ball above the ground when it goes over the crossbar. Known: R = 27m Vo...

Homework Statement The Great Projecto is fired from a cannon at a velocity of 29.8 m/s at an angle of 50.4 degrees. He lands in a net which is 2.0 m above his starting elevation. What is his velocity when he hits the net? How do I find it with no starting elevation? vx1: 36.02 m/s...

Homework Statement A ball is hit at a height of 1.00 m above ground such that it barely clears a wall that is 21.0 m high. This wall is located 130 m away from the location that the ball was hit (home plate). The ball was hit an angle that is 30° with respect to the horizontal. Find the...

Homework Statement As shown in the figure below, small object A is projected upward along a smooth slope forming angle α with the horizontal plane, with initial speed v0 in the direction of angle θ from the horizontal within the slope’s plane. The object continues to travel along the surface...

Hey guys, so I'm currently writing a math exploration paper on modelling the optimal tennis serve. I am using Geogebra and I was wondering if you could help me come up with the equation that will help model the trajectory of the tennis ball over time given the following conditions: 1. Initial...

Homework Statement A flying shot glass hits a bottle of whisky behind the bar and topples it. The shot glass bounces off the bottle and lands some distance away, while the bottle falls off the shelf with a much smaller horizontal velocity. Shotglass lands 2.4m from where it originally hit the...

Homework Statement You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. You find the arrow stuck in the ground 58.0 m away, making a 3.00° angle with...

So I just got beat up by this question on my midterm. I'm not sure if these problems are always called definition of success but that is how my professor refers to them as. The question: (paraphrased) When you walk into your dorm room you like to throw your keys onto the center of your desk...

Homework Statement A student in the back row of class fires a pea shooter in an attempt to hit the blackboard. The student fires it a distance of 23m from his seat to hit the black board. The pea hits the board after 1.4 seconds at a location 9.3 meters below the ceiling. The pea is fired from...

Homework Statement Show that the launch angle θ is given by the expression: θ=tan-1(4hmax/R) where hmax is the maximum height in the trajectory and R is the range of the projectile. Homework Equations hmax=vi2sin2(θ)/2g R=vi2sin(2θ)/g The Attempt at a Solution I am trying to understand the...

Homework Statement Homework Equations Projectile motion. Vy = 0 Vx = V0The Attempt at a Solution I integrate Vx to find d in terms of t I found d = V0*√(2h/g) Correct?

[moderator note: Thread moved from General Physics so no template shown] a) Considering X and Y velocities are independent of one another, simply getting the 300m it covered on the X axis and the total time it was in the air, 21.0s, it's easy to get an X velocity of 14.3 m/s to the right. b)...

Homework Statement A baseball player throws a ball at an initial velocity of 27m/s. It lands 140m away at 6.4 seconds. (A) what is the angle he threw it at? (B) what is the maximum height? Homework EquationsThe Attempt at a Solution I found the angle to be 36 degrees using the formula...

With part (c) - initially I thought the upward acceleration would decrease as the tangerine goes past the windows because it is being acted upon by the force of gravity, but then I felt that the upward acceleration is not changing - it is fixed - and so is the downward acceleration due to...

Dear Forum, I am working on projectile motion and optimization these days. Projectile motion uses the kinematic equations of free fall for the vertical direction together with the equations of constant velocity in the horizontal direction. Maximum Range: if an object is launched at a certain...

Could someone please assist me in deriving the following projectile motion equations from the following kinematics equations? Kinematics Equations: Δx = v0xt + ½at2 ; Δy = v0yt + ½at2 vx = v0x + at ; vy = v0y + at Δx = ½(v0x + vx)t ; Δy = ½(v0y + vy)t vx2 = v0x2 + 2aΔx ; vy2 = v0y2 + 2aΔy...

Homework Statement A person throws a ball at a 45 degree angle and hits a given target. How much quicker does the ball get to the target if the person instead throws the ball with the same speed v0 but at the angle that makes the trajectory consist of two identical bumps, as shown (Assume...

Homework Statement A ball is thrown horizontally from the top of the cliff of height H. It hits the ground a distance H from the bottom of the cliff. What was the initial speed? X coordinate v0 = ? a = 0 m/s2 x0 = 0 xf = H Y coordinate v0 a = -9.8 m/s2 y0 = H yf = 0 Homework Equations a(t) = a...

Homework Statement A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 7.90m/s at an angle of 21.9deg below the horizontal. It strikes the ground 2.95s later. Calculate the height from which the ball was thrown. Homework EquationsThe Attempt at a...

Homework Statement The drawing shows a skateboarder moving at 6.60 m/s along a horizontal section of a track that is slanted upward by θ = 48.0° above the horizontal at its end, which is 0.700 m above the ground. When she leaves the track, she follows the characteristic path of projectile...

Homework Statement A ball was placed in a frictionless circular track with radius R and given initial velocity of u.The ball went around the cricle ,left at some point,then arrived in the same initial position after undergoing projectile motion. a.State the speed u in terms of R and g...

You are designing a missile defense system that will shoot down incoming missiles that pass over a perimeter defense post. The set-up is shown below. An incoming missile passes directly above the defense base. Radar at the base can measure the height, h, and speed, v1, of the incoming missile...

Hello I am in my final year of schooling in South Africa. For Physics, we do a module called Vertical Projectile Motion & Graphs. This section uses equations of motion etc. I cannot seem to find the online resources for me to truly master this section. The sites I have are of projectile motion...

Homework Statement You jump straight upward off a trampoline with an initial velocity of 30 km/h. How high above the trampoline will you reach? Homework Equations v2=v1 + a x t & v2(square root)=v1(square root) + 2adThe Attempt at a Solution I tried 30km/h into the...

Homework Statement A projectile of mass m is fired from ground level with speed v0 and at angle ##\theta## with respect to the horizontal. Basically there is a projectile from start to finish, with an pivot starting at the x coordinate for the highest point on the projectile. The teacher wants...

Homework Statement The current world-record motorcycle jump is 77.0 m, set by Jason Renie. Assume that he left the take-off ramp at 12.0º to the horizontal and that the take-off and landing heights are the same. Neglecting air drag, determine his take-off speed Homework Equations R =...

Homework Statement I'm trying to come up with an equation to determine where a ball would land (basically the distance it moves) from a spring loaded projectile launcher set up on a table. I'm looking for "d", and I know the spring constant, compression, mass of the ball, height the ball starts...

Homework Statement Warren weights 70 kg and is shot out of a cannon at 25 degrees above the horizontal. the cannon barrel tip is 1.34m above the ground and the cannon has a mass of 203kg. What is Warren's initial launch velocity?Homework Equations I don't even knowThe Attempt at a Solution I...

Homework Statement A water balloon is fired at 34.0 m/s from a water cannon, which is aimed at an angle of 18° above the ground. The centre of the cannon's target (which has a radius of 1.0m) is painted on the asphalt 42.0 m away from the water cannon. Will the balloon hit the target? Justify...

Consider the problem of projectile motion where the angle to hit a target ##(x,y)## is asked, once given the initial velocity magnitude ##v_0##. The projectile is fired from the point ##(0,0)##. Here is the final formula for theta, solving the equations of motion...

Homework Statement Homework Equations vx = 70*cos(α) + 8.333 (30 km/h = 8.333 m/s) vy = 70*sin(α) vx*t = 350 vy*t = 60 -(1/2)*g*t^2 + vy*t + 2.5 = 60 The Attempt at a Solution This problem is conceptually very simple for me, but I can't solve it without using a solver like Wolfram Alpha...

Homework Statement dv/dt = -βv Integrate to find velocity as a function of time, assume the particle's initial velocity is v0. β is constant v = velocity (not constant) t = time Homework EquationsThe Attempt at a Solution dv = -βvdt ∫dv = -β∫vdt --------> limits of integration for the right...

Homework Statement An athlete can cover 3.0 m for a standing long jump. Assuming that this athlete jumps at an angle of 45 degrees to the horizontal. calculate the speed at which the jumper can launch herself from a standing start. Assume g =10 ms^-2 and no air resistance Assume that horizontal...