Physics
posted by Sam
A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 9.2 s after it is fired, find the initial velocity of the projectile (magnitude and direction). Neglect air resistance. Also calculate the angle

bobpursley
Well, you have some algebra ahead.
Vertical:
155=VsinTheta*t4.9t^2
Horizontal:
195=VcosTheta*t
you are given t.
So you have two equations, two unknowns.
Here is what I suggest. Put both equations in the form of
V*trigfunction=some number
then square both sides.
add the equations, you should get something like this:
V^2(cosTheta ^2 + sinTheta ^2)=number^2
well, you know the ( ) is 1, which allows you to solve for V. Then substitute back to solve for theta.
Have fun.
Respond to this Question
Similar Questions

Physics
a) A cannonball is fired horizontally from the top of a cliff. The cannon is at height H = 100 m above ground level, and the ball is fired with initial horizontal speed v_0. Assume acceleration due to gravity to be g = 9.80 m/s^2. … 
math
A projectile is launched from ground level to the top of a cliff which is 195m away and 135m high. If the projectile lands on top of the cliff 6.9s after it is fired, find the initial velocity of the projectile ((a)magnitude and (b)direction. … 
Physics
A projectile is launched from ground level to the top of a cliff which is 195m away and 135m high (as shown in the figure ).If the projectile lands on top of the cliff 6.9s after it is fired, find the initial velocity of the projectile … 
Physics
A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 9.2 s after it is fired, find the initial velocity of the projectile (magnitude and direction). … 
physics
A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 9.2 s after it is fired, find the initial velocity of the projectile (magnitude and direction). … 
physics
A projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high.If the projectile lands on top of the cliff 6.5 s after it is fired, find the initial velocity of the projectile ( (a)magnitude and … 
physics
A projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high.If the projectile lands on top of the cliff 6.5 s after it is fired, find the initial velocity of the projectile ( (a)magnitude and … 
Physics 124
A projectile is fired from the top of a cliff at 14.2 m/s at an angle of 36.9 degrees below the horizontal, and strikes water at the same level as the base of the cliff 3.51 seconds later. (Assume g=10.0 m/s2.) How high was the top … 
physics
A projectile is fired at an angle of 30ᵒ above the horizontal from the top of the cliff 600 ft high. The initial speed of the projectile is 2000 ft/s. how far will the projectile move horizontally before it hits the level ground … 
physics
a projectile is fired at an angle of 27 above the horizontal from the top of a cliff 500 ft high. The initial speed of projectile is 1670 ft/s. How far will it move horizontally before hitting the level ground at the base of the cliff?