Max height Definition and 124 Threads

For this problem, The solution is, I don't understand how they got from ##\frac {sin^2\theta_i}{sin2\theta} ## to ##\frac{tan\theta_i}{2}##. Would somebody please show me the immediate steps? I also don't understand is why they say the ignore the trivial case where ##\theta_i = 0~rad##...

Assuming it’s one body whose initial speed is u. First it attains height h then H. t1 and t2 are two times at which they attain h and H. ##h=ut1-\frac12gt1^2## ##H=ut2-\frac12gt2^2## ##\frac {t1}{t2}=1/3## Replacing t2 with 3t1, I am stuck.

How can i find the angle that a projectile is fired where the maximun height is the same as the traveling distance? I need to find this first in a theoretical way, then i need to confirm this with a simulation. And i need to use only this y=yo+Voyt+1/2gt^2 x=Voxt

21.1*50=1055 1055m/s is the velocity when the engine fails. I don’t know what the time should be in the second equation.

Here's a fully typed version of the problem with a diagramMy attempt: Given the angle of the hill, I know that the horizontal displacement of the arrow and my vertical height on the hill are related by ##Δx=d+\frac h {Tan(60)}## ...(1) where d is the distance of the enemy from the base of...

I recently watched a video on youtube where a guy fires a 50 cal. rifle straight up into the air and measures the time of flight at about 100s. It got me thinking about what altitude the round reached. So I used the kinematics equations and obtained a value of 12.25km. Amazing, but I wondered...

Homework Statement Homework EquationsThe Attempt at a Solution I tried to find constant k f = k ##\Delta##x 1/2 * 9,8 = k * 0,1 k = 49 N/m is rubber string the same as spring? Ep + EK at 0,1 meter = Ek + EP at 0,3 m 1/2 k x^2 + 0 = 1/2 k x^2 + 1/2 mv^2 v^2 = 2*49(0,08) v = 7*0,4 = 2,8...

Homework Statement Homework Equations f = Spring's constant * ##\Delta x## Potential Energy = ##\frac{1}{2} kx^2## The Attempt at a Solution I try to find constant of the springs Fabove + Fbelow - W = 0 k*(0,2 m) + k*(0,2m) - ##\frac{1}{2}## * 9,8 = 0 0,4k = 4,9 k = 12,25 N/m can I use...

Homework Statement A projectile is launched with initial speed v0 and angle θ over level ground. The projectile's maximum height H and horizontal range R are related by the equation R = 4H. Write an expression for the launch angle of the projectile. Homework Equations R=4H Vxo=Vocos(θ)...

When an object is thrown or propelled upwards and it meets the point at deceleration and drops; what is that point called, where the object is not moving in either direction?

Homework Statement A ball is thrown upwards. Its velocity at 3/5 its max height is 16.0m/s What is its initial velocity? What is its max height? Homework Equations vf^2 = vi^2 -2g(yf-yi) define up as positive The Attempt at a Solution I ran through numerous attempts on paper but can't...

Homework Statement Homework EquationsThe Attempt at a Solution So (i) was easy enough and I got a time of 0.67 seconds. For (ii), since the horizontal time is 0.67 seconds this means the TOTAL time spent in air is also 0.67 seconds, so to calculate max height we split this time in half...

Homework Statement Physics for Scientists and Engineers, 8th Edition, Ex. 47 M4 A spacecraft flies from 24.000 ft to 31.000 ft, in which it enters a parabolic trajectory with a velocity of 143 m/s at an angle of 45, above the horizontal. It exits with a velocity of 143 m/s at an angle of 45...

Homework Statement A 11-kg dog jumps up in the air to catch a ball. The dog's center of mass is normally 0.20 m above the ground, and he is 0.50 m long. The lowest he can get his center of mass is 0.10 m above the ground, and the highest he can get it before he can no longer push against the...

Homework Statement For a concrete column of constant cross sectional area, what is the maximum possible height if the compressible strength is 2.0 x 107 N/m2? The density of concrete is 2.3 x 103 kg/m3. Homework Equations \frac{F}{A} The Attempt at a Solution I am not really sure what I am...

Homework Statement how long does it take a football, with an initial velocity of 30 m/s at 30 degrees up from the horizontal, to reach the top of its flight? Homework Equations Δy= ½ (Vf + Vo) t The Attempt at a Solution I know that Vf= 0 m/s here because when it reaches the highest point, it...

Homework Statement A shell is shot with an initial velocity http://edugen.wileyplus.com/edugen/shared/assignment/test/session.quest2529559entrance1_N10030.mml?size=14&ver=1436312588112 of 17 m/s, at an angle of θ0 = 63° with the horizontal. At the top of the trajectory, the shell explodes into...

Hello, 1. Homework Statement A spherical continuous ball is sliding with a constant velocity v along a frictionless lane. Thereafter it enters an inclined surface (the angle between the surface and the horizontal plane is α) with the coefficient of friction µ between the ball and the surface...

Homework Statement A ball (m=0.7kg) is dropped from a height (h=30m). The air resistance force is given by the formula F=kv^2 where k=0.0228 and v is the ball's speed. The ball bounces after a perfectly elastic collision. Calculate the maximum height the ball reaches after the collision...

Homework Statement An object is thrown from the ground into the air at an angle of 30 degrees to the horizontal. If this object reaches a maximum height of 5.75m, at What velocity was it thrown? a= -9.81 m/s h= 5.75 m I know that velocity is the one that I need to solve but I'm kinda finding...

Homework Statement A container has a round hole at the bottom. The diameter of the hole is 0.1 mm. The container is filled with water. The maximum height (in m) up to which whiter can be filled without leakage is h/10. Find h. Surface tension= 75 * 10^-3 N/m Homework Equations Pgh*A=F(of...

Homework Statement A thin rod of length L, mass m is suspended horizontally at rest. It is suddenly released and experiences immediately after an impulse vertically upwards at one end. I need to find the maximum height reached by the centre of mass and the angular velocity of rotation about...

Homework Statement At what projection angle will the range of a projectile equal its maximum height? Homework Equations Big 5 vf2= vi2 + 2ad The Attempt at a Solution So I attempted to solve this question by randomly subbing in equations into each other. If i draw out a diagram to solve...

Homework Statement A nozzle with a radius of 0.250 cm is attached to a garden hose with a radius of 0.800 cm. The velocity of the water in the hose is 2.80 m/s and the velocity of the water in the nozzle is 28.7 m/s.s (a) Calculate the maximum height to which water could be squirted if it...

Homework Statement An object is thrown vertically upward such that it has a speed of 25 m/s when it reaches two thirds of its maximum height above the launch point. Determine this maximum height. Homework Equations Vf^2 = Vi^2 +2gt The Attempt at a Solution Couldn't figure out Vi...

Homework Statement A rocket moves upward, starting from rest with an acceleration of 29.4 m/s^2 for 4s. It runs out of fuel at the end of this 4s interval and continues to move upward. a.) how high does it rise from the ground? b.)When the rocket will hit the ground? The Attempt at a...

Homework Statement A ball is thrown upwards from a point near the sidewalk next to a tall office building. At some later time an occupant of the building, exactly 5.1 meters above the point from which the ball was released, sees it pass her window with a speed of 2.9 m/s. Calculate the...

Homework Statement A dog jumps a distance, L, and a maximum height, H, where the dog only has horizontal velocity when it travels through the hoop. What is the speed of your dog when he leaves the ground? What is the speed of your dog when he goes through the loop? Both answers should NOT...

Homework Statement An object is shot vertically upward and has a speed of 12 m/s when it reaches one fifth of its maximum height. a. What is the initial speed of the object? b. What is the maximum height of the object? Homework Equations Free falling objects The Attempt at a Solution...

Homework Statement A spring is launched from the ground at 2.3 m/s t an angle of 78° to the ground. What is the max height of the spring? How far did the spring travel? Homework Equations ##\vec{v}_R = 34 m/s## ##\theta = 78°## The Attempt at a Solution First things first, get my...

Homework Statement The rectangular steel yoke is used to prevent slippage between the two boards under tensile loads P. If the coefficients of static friction between the yoke and the board surfaces and between the boards are all 0.25, determine the maximum value of h for which there is no...

Homework Statement A projectile is launched at 110.0 m/s at 40.0° above the horizontal off a cliff that is 250.0 m above sea level. After 4.00 s of flight, this projectile launches a second projectile at 50.0 m/s directed at 15.0° below the horizontal. a) Find the max height of the second...

Homework Statement find the angle of the projection for which the maximum height is equal to half of the range Homework Equations vertical: h =(vsinθ)t-0.5(g)(t^2) horizontal: 2h =(vcosθ)t The Attempt at a Solution i know you set both equations equal to each other (vsinθ)t...

The froghopper, Philaenus spumarius, holds the world record for insect jumps. When leaping at an angle of 58.0 above the horizontal, some of the tiny critters have reached a maximum height of 58.7 above the level ground. A)What was the takeoff speed for such a leap? I got 4.00 m/s which was...

Homework Statement A projectile was fired across level ground at an initial angle of 43.00 degrees above the horizontal. During its flight, it reached a maximum height of 2974 metres. What was the initial speed of this projectile? Homework Equations I assume that the correct equation...

Suppose you know only these three things about a launched projectile: - Initial launch velocity (magnitude only, not direction) - Maximum height reached - Horizontal distance traveled before hitting the ground Is it possible to find the initial height, launch angle, and airtime of this...

Homework Statement A ball is thrown at 32m/s vertically what is the max height the ball can attain. Homework Equations no equation is given except initial speed The Attempt at a Solution so my guess is since the gravity is 9.8m/s^2 if I integrate 9.8m/s^2 = 32 it gives me 2.1396...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through a formula that I...

I am a formal instructor and one of the classes I teach revolves around the ballistics of a bullet. I am currently in a Calculus class and will be starting as an Economics major In the fall when I finish my time in the Marines. I am hoping to see if there is any way, through calculus that...

Homework Statement Ok so I had this problem on my quiz today and I am really anxious to see if i got it right. It went something like this: You have a frictionless horizontal platform and a ramp with kinetic friction of 0.3. The ramp is 20 degree of the ground. A 2 kg block/object is...

Homework Statement A golfer hits a ball, giving it a maximum height of 20 m. If the ball lands 130 m away at the level from which he hit it, what was its initial velocity? (Neglect air resistance) Homework Equations The Attempt at a Solution I found the angle to be 31.6, so I...

Homework Statement http://www.scribd.com/doc/82645310 In Figure 3-31, the lines AB and CD are the center lines of two conduits 1 ft. and 2 ft. in diameter respectively. Determine the maximum value of z so that the two may pass without interference. Conduit CD must pass under AB...

Homework Statement http://www.scribd.com/doc/82645310 In Figure 3-31, the lines AB and CD are the center lines of two conduits 1 ft. and 2 ft. in diameter respectively. Determine the maximum value of z so that the two may pass without interference. Conduit CD must pass under AB. Homework...

Homework Statement a golf ball is shot from a height of 6.5 ft above the ground at an angle of 45° above the horizontal. The ball lands 39 ft and 3 inches downfield. Assuming ideal projectile motion find: a. Initial velocity b. flight time c. maximum height Homework Equations r =...

1. Homework Statement A block given an intial velocity of 2m/s up a frictionless inclined at 60 degrees to the horizontal. What is the highest point reached by the block? 2. Homework Equations gsin(θ)=a a=v/t d=vit + 1/2at^2 3. The Attempt at a Solution Found vx = vsin60=...

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Ok, so i need to find the max height that my rocket travelled, however, the only thin gi got is that a reader holding a clinometer is 50m form the launch site and is 1.78m heigh. According to him, my rocket traveled with a 59 degree in 3.83 sec (taken when the rocket's parachute came out at the...

Homework Statement For 6.5 s, a rocket rises in a straight line oriented at 70° from the horizontal axis with a constant acceleration module of 8m/s2. Then she is goes into free fall. Find: a) the maximum height b) its horizontal reach Homework Equations t = ( vfv - viv)/a d = viht +...

Homework Statement A bullet of mass 0.005kg is shot at a suspended block of wood with mass 1kg. The bullet initially has a speed of 200m/s, and passes through the block of wood. The bullet passes through the wood, and 50J of work is done deforming the shape of the bullet and block. If the...

Homework Statement A mass starts from rest at the upper rim of a semi-circle of radius 8m. In the bottom of this there is a region of size 1m which has a coefficient of kinetic friction of 0.5. What is the maximum height that the mass reaches after passing through this region once...