Question

At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. Height of the clown

Answer 1

t = 3.11 seconds

Explanation:

Given that,

At the circus, a clown is shot from a cannon. This situation can be modeled by the function :

`h = -16t^2 + 45t + 15`

Where

'h' is height in feet and 't' is time in seconds

We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :

`-16t^2 + 45t + 15=0`

We need to solve for t. It can be calculated as follows :

`t=(-45\pm √(45^2-4(-16)(15)) )/(2(-16))\\\\t=-0.301\ \text{and}\ 3.11\ s`

So, the required time is 3.11 seconds.