Answer:
19feet
Explanation:
Given the expression for height of a man expressed as;
h = -16t² + 32t + 3
We are to find the maximum height reached by the man;
At the max height dh/dt = -32t + 32
v(t) = -32t + 32
0 = -32t + 32
32t = 32
t = 32/32
t = 1.sec
Substitute t = 1 into the expression given
h = -16(1)² + 32(1) + 3
h = -16 + 35
h = 19feet
Hence the maximum height reached by the man is 19feet