Please help me with a velocity question

Question

A ball is thrown vertically upward from the ground with an initial velocity of 114 ft per sec. Use h = −16t2 + v0t + h0.
Step 1 of 2: Determine when the ball will reach its maximum height. 

Answer 1

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Answer 2

h(t) = -(1/2)gt^2 + v0*t + h0, where h0  = 0 ft

v(t) = -gt + v0 = -32t + 114

 

Maximum height occurs when v(t) = 0 and the ball begins to fall

v = 0 ⇒ 114 - 32t = 0 ⇒ t = 3.5625 seconds

Ball reaches maximum height 3.5625 seconds after toss.