Projectile Motion - (Time) Above Ground - General LaunchAngle

At a height h = unknown above the ground a rocket is fired at aninitial speed v0 = 142.0 m/s at an angle θ = 42° above thehorizontal. After a time = 25.2 s the rocket hits the ground.Ignore air resistance.

The magnitude of the gravitational acceleration is 9.8 m/s2.

Choose the RIGHT as positive x-direction. Choose UPWARD aspsotitive y-direction

Keep 2 decimal places in all answers

Find v0x, the x component of the initial velocity (in m/s)

Find v0y, the y component of the initial velocity (in m/s)

(a) What maximum height (in meters) above the intial locationdoes the rocket reach?

(b) How long (in seconds) does it take the rocket to reach themaximum heght?

(c) What is the range R (the horizontal distance) (in meters)traveled by the rocket before hitting the ground?

What is the rocket's initial height h (in meters) above theground? Report h as positive.

(d) What is the vertical component of the velocity (in m/s) justbefore the rocket hits the ground? Pay attention to the direction(the sign).

(e) What is the magnitude of the velocity (including both thehorizontal and vertical components) (in m/s) of the rocket justbefore it hits the ground?

(f) What is the direction of the velocity of the rocket justbefore it hits the ground?

Report the direction by an angle COUNTERCLOCKWISE from the +xaxis.