Homework Statement
A projectile is fired with velocity v0 and passes through two points, both a distance h above the horizontal. The angle of the barrel of the gun is adjusted for the maximum range, find the horizontal separation of the two points.
Homework Equations
Max range for projectile...
Homework Statement
A projectile is fired at an angle of 30.0 degrees above the horizontal with an initial velocity of 800.0 m/s from the top of a cliff 80.0 meters high. How far from the base of the cliff does it strikes the level ground below? Ignore friction.
Homework Equations...
Homework Statement
I have been given the Horizontal Displacement (Distance), Vertical Displacement (height), and Time (secs). How would I find total displacement? Velocity? Average Horizontal Velocity? Average Vertical Velocity?
Homework Equations
Um something with cosine and sine...
Homework Statement
An artillery shell is fired at mach 2 at an enemy encampment located at a range of 1700m. The initial position of the shell is 72 meters below the encampment, and is aimed at an angle θ.
Solve the problem for θ.
We can get the following variables/data from this:
Range =...
Homework Statement
A baseball leaves a bat at 45m/s at an angle of 36.90° above horizontal. At the point of impact with the ball, the ball is 1.000m above ground level, and as it clears the fence it is back down to 11.00m above ground level. How far is home plate from the fence at this point...
Homework Statement
A speedy destroyer’s 5 inch gun fires a projectile at some angle to the horizontal. If the thing travels a distance of 23 500 m in 135 s, what was the projectile’s initial velocity?
Homework Equations
v=vi+at
v^2=vi^2+2a(s) s=displacement
s=vi*t+.5at^2
The...
Homework Statement
A cannon is fired at a target on a cliff that is 400 meters away. The cliff has an elevation of 150 meters relative to the cannon. The initial velocity of the cannonball is 100 m/s. Ignoring wind resistance calculate the two possible angles and their respective times.
X=...
A small ball is launched from the corner of an inclined plane. When the inclination of the plane θ is 70° the max range of the projectile is 50 cm. Later the inclination of the plane changes to a new unknown angle and the same projectile launcher is oriented at 30° to the horizontal line. The...
I am doing a projectile motion problem with my own results, and the unknown's of initial velocity and time. It is at 0 degrees, which I thought would mean I could find the vertical down of the projectile (where at an angle you find the vertical up and down because it goes up first). I have tried...
1. A soccer ball is kicked so that it has a range of 30m and reaches a maximum height of 12m. What velocity (magnitude and direction) did the ball have as it left the footballer's foot?
I used the equation to solve for time and got 1.55s. I'm not sure if air resistance is involved, we never...
Homework Statement
A ball of mass 0.9kg is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2
Air resistance must be taken into account also. Use the formula D = (...
Hey all, me again. This time my question has to do with projectile motion with air resistance from a given height.
Homework Statement
A cannon is located on a cliff of height h. If the muzzle velocity of a projectile is v0, find the range of the projectile when the drag is proportional to the...
Homework Statement
3) A projectile is launched with speed v₀ at an angle α₀ above the horizontal. The launch point is a height H above the ground. Ignore air resistance.
(a.) Find the horizontal velocity of the projectile.
(b.) Find the time for projectile to reach its maximum height...
Homework Statement
A ball is batted with a velocity of 30 m/s at an angle of 30 degrees above the horizontal from a height of 1.0 m above the ground. Will the ball clear a 2.5 m high fence which is 30 m away? By how much will it miss or clear?
Homework Equations
ballistic path equation? delta...
I am in an Honors Physics I class at my school and we are just starting to learn about projectile motion. I am having a bit of trouble with some homework and am in need of help.
Problems:
1. I kick a rock horizontally off a ledge that is 20 m high. Once in the air, the rock is in free-fall...
1. If an object is thrown with a horizontal velocity of 32 m/s and a vertical velocity of 24 m/s from the top of a cliff that is 230 m in height (on the moon where the acceleration is found to be 1.6 m/s^2), how long will the object be in flight?
2. Δd = v1Δt+1/2aΔt^2, Δd =...
Homework Statement
Find the angle of the projection for which the maximum height is equal half of the range.
Homework Equations
Kinematic and Projectile motion equations
Homework Statement
A rocket is launched at an angle of 53° above the horizontal with an initial speed of 75 m/s. It moves in powered flight along its initial line of motion with an acceleration of 25 m/s^2. At 30 s(seconds) from launch, its engine fails and the rocket continues to move as a...
Homework Statement
A gazelle leaps over a 2.1m fence. Assuming a 45° takeoff angle, what is the minimum speed?Homework Equations
1. x=v0x * t
2. y = v0y * t - 1/2gt2
3. vy = v0y - gt
4. vy2 = v0y2 - 2gΔyThe Attempt at a Solution
I assumed at the top of the leap, vy=0 m/s, so I used equation 4...
Homework Statement
You throw a basketball towards a basketball hoop that is 4.92 m away from you, and 0.457 above the release point at 30 degrees above the horizontal (assume g = 10 m/s2)
How fast does the ball have to leave your hand to pass through the hoop on its way down?
Homework...
Homework Statement
A skateboarder starts up a 1.0--high, 30 ramp at a speed of 7.9 . The skateboard wheels roll without friction. How far from the end of the ramp does the skateboarder touch down?
Homework Equations
x=x0+v0t+.5(a)(t2)
v=v0+at
The Attempt at a Solution
This...
Homework Statement
Fire a cannon ball at 30 degrees above the horizontal with an initial speed of 65 m/s from the top of a building 50 m high.
Find the total time the cannon ball is in the air.
What's the horizontal distance from the base of the building when the ball strikes the ground...
Homework Statement
A quarterback claims that he can throw the football a horizontal distance of 193 m. Furthermore, he claims that he can do this by launching the ball at the relatively low angle of 32.1 ° above the horizontal. To evaluate this claim, determine the speed with which this...
Homework Statement
In the figure, a baseball is hit at a height h = 1.20 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.2 s after it is hit and then down past the top of the wall 4.1 s later, at distance D = 55 m farther along the wall...
Homework Statement
Part 1- Derive an algebraic expression for the time-of-flight of a projectile launched with initial speed v0 from a height h at an angle θ above horizontal. (Use any variable or symbol stated above along with the following as necessary: g. Do not substitute numerical...
1. A projectile is launched at an angle of 45.0 degrees above the horizontal and lands at the same level from which it was launched 3.69 seconds later. The magnitude of the initial velocity is _____ m/s
2. If θo is the angle of elevation above the horizontal at which a projectile is launched...
Homework Statement
A ball of mass 9N is shot from a slingshot at an angle of 60° from the ground. The slingshot is sitting 1m above the ground. The elasticity of the slingshot is k = 700N/m. Take gravity = 10m/s^2
Air resistance must be taken into account also. Use the formula D = (...
Projectile Motion Lab! PLEASE HELP THIS IS FOR TOMORROW.
I am a high school student in Grade 12.
We are currently doing projectile motion. We are using a marble. The teacher said that we should neglect air resistance because it is a very heavy marble. The marble, in the projector, is...
A rifle is fired at an angle of 25° below the horizontal with an initial velocity of 400 m/s from the top of a cliff 60.0m high. How far from the base of the cliff does the bullet land?
This is what I did, but I'm not sure if its right:
y-component→ v=400sin(25°) ∴v=169.05
x-component→...
Homework Statement
The question reads: Luke Skywalker is dropping a bomb down a ventilation shaft on the Death Star. The circular shaft has a diameter of 1m. When the bomb is released, Luke's X-wing start-fighter is 200m above the shaft's opening and 500m horizontally from the front edge of...
Homework Statement
A football is thrown toward a receiver with an initial speed of 20.0 m/s at an angle of 30.0o above the horizontal. At that instant, the receiver is 20.0 m from the quaterback. In what direction and with what constant speed should the receiver run in order to catch the...
Projectile motion -- velocity and distance
Homework Statement
A projectile is launched with an initial speed of 60 m/s at an angle of 30 degrees above the horizontal. The projectile lands on a hillside 4 seconds later. Neglect air friction. What is the projectile's velocity at the...
If a player jumps with an initial speed of Vo = 7 m/s at an angle of 35, what percent of the jump's range does the player spend in the upper half of the jump?
So Vo = 7m/s that means that Voy = 7sin60 and Vox = 7cos60 right? I understand (i think) that if I can find how long it takes for the...
A stone is projected at a cliff of height h with an initial speed of 42m/s directed at angle=60 above the horizontal. The stone strikes at A, 5.5s after launching. Find A) the height h of the cliff, B) the speed of the stone just before impact at A, and C) the maximum height H reached above the...
Homework Statement
A cat jumps off of the table with a velocity vi at an angle θ. The table is h meters tall. How far away from the table is the cat?
V(x) = ViCosθ
V(y) = ViSinθ
Homework Equations
I first solved for time using 0 = Xi + Vit +1/2a(t^2)The Attempt at a Solution
I got time as...
Homework Statement
I don't need help with a homework question so much as a clarification of a concept. I realize that in projectile motion on a horizontal plane, horizontal acceleration is 0. But if an object is launched from the top of an incline (shaped like \), there is both an acceleration...
Homework Statement
starting at 2.00m away from a waterfall .55m in height, at what minimum speed must a salmon jumping at an angle of 32.0° leave the water to continue upstream?
Homework Equations
Δx=vi(cosθ)Δt
Δy=vi(sinθ)Δt-1/2g(Δt)2
The Attempt at a Solution
there were some other...
A ball is tossed from an upper story window of a building. It has an initial velocity of 8.00 m/s at an angle of 20 degrees below the horizontal. How long does it take the ball to reach a point 10.0m below the level of launching.
I tried using the equation
yf=vi(sin(theta))-.5gt^2
Which I...
Very Stuck on Deriving Projectile Motion Formulas
Hey, I need some help :( . I've got an exam next Thursday, and I really suck at this stuff right now. So I need to get better! We are studying kinematics (1d and 2d).
In this problem I need help with, we are given the attached diagram...
Homework Statement
a football is kicked at a certain angle above the horizontal. the vertical component of its initial velocity is 40 m/s and the horizontal component is 50 m/s.Homework Equations
what is the angle in the problem? what kind of formula can i use?
Homework Statement
Question: "The time of flight of the lure through the air is 3.4 seconds. (g= 9.8m/s/s)
Calculate the maximum height of the lure in its projectile motion."
Homework Equations
Not sure if I need to use this:
d = (u)(t) + (1/2)(a)(t^2)
The Attempt at a Solution...
Urgent! projectile motion
Heyy every1
Q Exactly 2.7s after a projectile is fired into the air from the ground ,it is observed to have a velocity v = (8.8i+4.5 j) m/s where the x-axis is horizontal and the y-axis is positive upward .
a)Determine the horizontal range of the projectile...
Homework Statement
A rock dropped from a cliff covers one-third of its total distance to the ground in the last second of its fall. Air resistance is negligible. How high is the cliff? Homework Equations
v = v0 + at2
h = v0t + 0.5at2
v2 = v02 + 2ahh = distance in this case
The Attempt at a...
Why does a bullet fired horizontal and bullet dropped vertically downward, land at the same time? Shouldn't the object thrown downward fall sooner as it has a shorter distance to cover even though gravity pulls both of the down at the same rate?
Does it have to do anything with the fact that...
Finding the total distance a jaguar has jumped from a 30° angle at 3.33m/s.
I've split the jump into horiz./vert. components:
Vertical: v sin(θ) = 3.33sin(30) = 1.67 ms-1
Horizontal: v cos(θ) = 3.33cos(30) = 2.88 ms-1
I am just unsure as to how to find the time taken to reach maximum height...
Objective questions regarding "projectile motion - 2 dimension".
Homework Statement
There are 2 mini problems :
1. If t1 and t2 be the times of flight from A to B and "θ" be the angle of inclination of AB to the horizontal , then t12 + 2t1t2sinθ + t22 is
(A.) independent of θ
(B.)...
Homework Statement
"A slingshot fires a stone horizontally from a tower 32 metres high, and it lands 135 metres from the foot of the tower. What was the speed at which it left the slingshot?"
Verticle Height = 32m
Horizontal Distance = 135m
The Attempt at a Solution
I first calculated...
Homework Statement
Problem Number 1: a ball thrown into the air from the ground reaches a maximum height of 50meters and 200meters horizontally. Find the magnitude and direction.
Problem Number 2: a movie stunt drive on a motorcycle speeds horizontally of a 50meter high cliff. How fast must...
Homework Statement
A football player punts the football so that it will have a time of flight = 4.5s and land 45.7m away. The ball leaves the player's foot 1.52 m above ground.
What is initial velocity? (Magnitude and direction)
Homework Equations
x-x_0 = v_0 * cosθ * t
y-y_0 =...
Homework Statement
A projectile is fired from a cliff 125m off the ground at 37° from the horizontal at 65 m/s. How long will it take to hit the ground?
Homework Equations
y= yo+(Vyo)(t) - 1/2(g)(t^2)
quadratic formula
The Attempt at a Solution
substituting in equation...