Arock is thrown at an angle such that the initial horizontal velocity is 15.0 m/s and the initial vertical velocity is 39.0 m/s. what is the greatest height the rock reaches? a.38.8 m b.46.9 m c.77.6 m d.98.2 m

Option (c) is correct.

Explanation:

initial velocity along horizontal= Vx=15 m/s

initial velocity along vertical= Viy=39 m/s

final vertical velocity at the top= 0

acceleration due to gravity=-9.8 m/s²

using kinematic equation

Vfy²= viy²+2gh

0=(39)²+2 (-9.8) (h)

-1521=-19.6 h

h=77.6 m

newton's first law of motion