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I have the correct answer for (a) but cannot figure out (b). Please help! A proj

ID: 2048206 • Letter: I

Question

I have the correct answer for (a) but cannot figure out (b). Please help!

A projectile is launched from ground level at 38.5 m/s at an angle of 32.2 degrees above horizontal. Use the launch point as the origin of your coordinate system.

(a) How much time elapses before the projectile is at a point 17.4 m above the ground and heading downwards toward the ground? correct answer is 3.01 s
(b) How far downrange (the horizontal distance from the origin) was the projectile when it reached the highest point in its flight?

Explanation / Answer

find the time when projectile is at its highest point. i.e its upward velocity becomes zero.
t = v.sin/g

horozontal distance travelled by then= vcos.t