Question

PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!

Answer 1

Step-by-step explanation:

The height of the swipe card is given by :

$h(t)=-3t^2+15t+18$ .....(1)

We need to find the maximum height of the swipe card and the time to reach the maximum height.

For maximum height, put dh/dt = 0

So,

$\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s$

It will take 1.67 seconds to reach the maximum height.

Now, put t = 1.67 s in equation (1).

$h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet$

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.