Question

A ball is thrown from an initial helght of 3 meters with an initial upward velocity of 15 m/s. The ball's height h (In meters) after t seconds is given by the
following
h=3+15t-572
Find all values of t for which the ball's height is 8 meters.

Answer 1

The height function is an illustration of a quadratic function.

The ball reaches a height of 8 meters at 0.38 seconds and 2.62 seconds

How to determine the values of t

The height function is given as:

$h = 3 + 15t - 5t^2$

At a height of 8 meters, the function becomes

$3 + 15t - 5t^2 = 8$

Collect like terms

$-8 + 3 + 15t - 5t^2 = 0$

$-5 + 15t - 5t^2 = 0$

Rewrite the equation as:

$-5t^2 + 15t - 5 = 0$

Divide through by -5

$t^2 - 3t + 1 = 0$

Using a graphing calculator, we have:

t = 0.38 and 2.62

Hence, the ball reaches a height of 8 meters at 0.38 seconds and 2.62 seconds

Read more about quadratic functions at:

https://brainly.com/question/1214333