Question

The height of an object tossed upward with an initial velocity of 136 feet per second is given by the formula h = −16t2 + 136t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure.

Answer 1

Step-by-step explanation:

Given that, the height of an object tossed upward with an initial velocity of 136 feet per second is given by the formula :

`h=-16t^2+136t`

Where

h is the height in feet

t is the time in seconds

Let t is the time required for the object to return to its point of departure. At this point, h = 0

`-16t^2+136t=0`

t = 8.5 seconds

So, the time required for the object to return to its point of departure is 8.5 seconds.