# physics

posted by .

A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 68.6° above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 26.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall?

• physics -

The height of the rocket fired at speed v at angle a is given by

y(x) = -g*sec^2(a)/2v^2 x^2 + x*tan(a)
= -.0065x^2 + 2.55x

y(26) = 61.9m so it clears the 11-m wall by 50.9m

Makes sense, since if the rocket went in a straight line at an angle of 68.6°, at 26m out it would be 66.3m high.

## Similar Questions

1. ### physics

A rocket is fired at a speed of 70.0 m/s from ground level, at an angle of 40.0 ° above the horizontal. The rocket is fired toward an 14.0-m high wall, which is located 21.0 m away. The rocket attains its launch speed in a negligibly …
2. ### physics

A rocket is fired at a speed of 91.0 m/s from ground level, at an angle of 49.0 ° above the horizontal. The rocket is fired toward an 21.4-m high wall, which is located 25.0 m away. The rocket attains its launch speed in a negligibly …
3. ### physics

A rocket is fired at a speed of 91.0 m/s from ground level, at an angle of 49.0 ° above the horizontal. The rocket is fired toward an 21.4-m high wall, which is located 25.0 m away. The rocket attains its launch speed in a negligibly …
4. ### physics

A rocket is fired at a speed of 54.0 m/s from ground level, at an angle of 63.0 ° above the horizontal. The rocket is fired toward an 52.8-m high wall, which is located 37.0 m away. The rocket attains its launch speed in a negligibly …
5. ### Physics

A rocket is fired at a speed of 50.0 m/s from ground level, at an angle of 46.0 ° above the horizontal. The rocket is fired toward an 18.7-m high wall, which is located 23.0 m away. The rocket attains its launch speed in a negligibly …
6. ### Physics

A rocket is fired at a speed of 96.0 m/s from ground level, at an angle of 35.0 ° above the horizontal. The rocket is fired toward an 15.2-m high wall, which is located 32.0 m away. The rocket attains its launch speed in a negligibly …
7. ### physics

A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 60.0º above the horizontal. The rocket is fired toward an 15.0 m high wall, which is located 27.0 m away. The rocket attains its launch speed in a negligibly …
8. ### physics

A rocket is fired at a speed of 66.0 m/s from ground level, at an angle of 63.0 ° above the horizontal. The rocket is fired toward an 31.2-m high wall, which is located 28.0 m away. The rocket attains its launch speed in a negligibly …
9. ### Physics

A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 56.3 ° above the horizontal. The rocket is fired toward an 11.0-m high wall, which is located 21.5 m away. The rocket attains its launch speed in a negligibly …
10. ### physics

A rocket is fired at a speed of 92.0 m/s from ground level, at an angle of 33.0 ° above the horizontal. The rocket is fired toward an 13.4-m high wall, which is located 26.0 m away. The rocket attains its launch speed in a negligibly …

More Similar Questions