If a projectile is shot at an angle of (5pi)/12 and at a velocity of 15 m/s, when will it reach its maximum height??

1 Answer
Mar 22, 2017

10.711 meters

Explanation:

Split the velocity up into x-components and y-components:

vx=15cos(5pi/12)

vy=15sin(5pi/12)

We only care about the y-component in this case since we want to know maximum height. The initial velocity is 15sin(5pi/12). The final velocity will be 0 at the top. The acceleration is always 9.8 m/s downwards. We need to find d. Find a kinematics equation that has vi, vf, a, and d.

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The equation in the top right corner has all four of those components. Plug into that equation:

0=(15sin(5pi/12))^2+2(-9.8)(d)

Solve for d:

d=(-15sin(5pi/12))^2/((2)(-9.8))=10.711 m