Physics
posted by Amanda and Travis .
a projectile is fired with an initial speed of 53 m/s. Find the angle of projection such that the maximum height of the projectile is equal to its horizontal range

Physics 
Steve
range is v^2 sin(2θ)/g
height is v^2 sin^2(θ)/2g
so,
sin(2θ) = sin^2(θ)/2
2sinθcosθ = sin^2(θ)/2
4cosθ = sinθ
16cos^2(θ) = sin^2(θ) = 1  cos^2(θ)
17cos^2(θ) = 1
cosθ = 1/√17 
Physics 
Lorqueenah
0.34 & 0.125
Respond to this Question
Similar Questions

physics
A projectile is fired in such a way that its horizontal range is equal to 8.5 times its maximum height. What is the angle of projection? 
Physics
A projectile is fired in such a way that its horizontal range is equal to 2.6 times its maximum height, what is the angle of projection? 
Physics
A projectile is fired in such a way that its horizontal range is equal to 2.6 times its maximum height, what is the angle of projection? 
Physics please help!!
A projectile is fired at 45.0° above the horizontal. Its initial speed is equal to 42.5 m/s. Assume that the freefall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height … 
Physics
A projectile is fired such that its horizontal range is equal to 2.5 times its maximum height. Find the angle the projectile was fired at 
projectile motion
A missile is fired upwards from the top of a cliff in a direction making an angle (not known ) with the horizontal. After 20seconds the projectile hits the ground at a point which is 1800metre from the foot of the tower of height 160metres. … 
physics
A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5 degree above the horizontal on a long flat firing range. Determine (a) The maximum height reached by the projectile, (b) The total time in the air, (c) The … 
mecancs
a projectile is fired with an inteal speed of 53m/s.find the angle of projection such that the maximum hight of a projectile is equal to its horizontal range. 
physics
A projectile is fired at 30.0° above the horizontal. Its initial speed is equal to 172.5 m/s. Assume that the freefall acceleration is constant throughout and that the effects of the air can be ignored. What is the maximum height … 
Physics
I'm having trouble where to start with this question.. Any help would be helpful. A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the maximum …