Question

the height in feet of an object projected upward is given by the polynomial -16t^2+60t+90 where t represents time, in seconds. Find the height after t=2.5 seconds

Answer 1

Given:

The height of an object project upward is given by the polynomial

$h=-16t^2+60t+90$

where t represents the time, in seconds.

We need to determine the height after t = 2.5 seconds.

Height of an object:

The height of an object after 2.5 seconds can be determined by substituting t=2.5 in the polynomial, we get;

$h=-16(2.5)^2+60(2.5)+90$

Simplifying, we get;

$h=-16(6.25)+60(2.5)+90$

$h=-100+150+90$

$h=140$

Thus, the height of an object is 140 feet.