Question

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air at an initial velocity of 7 feet per second. The equation h = -2t^(2) + 7t + 4 models the toy's height h in feet from the ground at t seconds after he threw it. a) How high is the toy after 0-4 seconds?

Answer 1

Step-by-step explanation:

The height attained by the toy as a function of time t is given by :

$h = -2t^2 + 7t + 4$

h is in feet and t is in seconds

Height of the toy at t = 0

$h = -29(0)^2 + 7(0) + 4=4\ ft$      

Height of the toy at t = 4 seconds is :

$h=-2(4)^2 + 7(4)+ 4=0$

So, between 0 to 4 seconds, height of the toy is 4 feets.