Hurry. A catapult launches a pumpkin with an upward velocity of 150 ft./s.
The height of the pumpkin, h, in feet after t seconds is given by the
function h = -16t2 + 150t + 20. How long does it take the
pumpkin to reach its maximum height? What is the pumpkin's
maximum height? Round to the nearest hundredth, if necessary.

Time taken to reach maximum height=4.69 seconds

Maximum Height=371.56feet

Step-by-step explanation:

Given the height function of the pumpkin:

The pumpkin reaches it's maximum height at its axis of symmetry.

Therefore, we determine its equation of symmetry.

The equation of symmetry:

a=-16, b=150.

Therefore:

The pumpkin reaches maximum height after 4.6875 seconds.

At t=4.6875

The pumpkin's maximum height is 371.56 feet.