Answer:
1.5 seconds
Step-by-step explanation:
The maximum height is reached when the velocity is zero. We know that the velocity of the object is given by v = 48 - 32t, so we need to solve the following equation:
v = 48 - 32t = 0
Solving for t, we get:
48 - 32t = 0
48 - 32t + 32t = 0 + 32t
48 = 32t
48/32 = 32t/32
1.5 = t
Therefore, the object reach its maximum height after 1.5 seconds