Projectile Motion: Solving for Distance with Integration

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nysnacc
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Homework Statement


Textbook diagram of a propeller plane flying left to right at altitude h, releasing a marker with horizontal velocity v0 that follows a curved path down to the ground, with horizontal distance d marked between the release point and the impact point.


Homework Equations


Projectile motion.

Vy = 0
Vx = V0

The Attempt at a Solution


I integrate Vx to find d in terms of t
I found d = V0*√(2h/g)

Correct?
 
That's the right answer, but you do not need to use integration. Just use a SUVAT formula to find the descent time.