Question

A roller coaster’s height is given by the equation h = –.046t2 + 5t +75, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? hint: Set h = 0.
122.05 seconds

75.00 seconds

54.35 seconds

26.71 seconds



PLSSS HELPPP

Answer 1

A function assigns the values. The time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the height of the roller coaster is given by the function,

h = -0.046t²+5t+75

Now, when the roller coaster will complete the ride, therefore, pass over the hill and reach the ground level, the height of the coaster will be zero, therefore, the function will become.

0 = -0.046t²+5t+75

Now, taking the roots of t, we will get,

$t = \dfrac{-5\pm \sqrt{(5)^2-4(-0.046)(75)}}{2(-0.046)}\\\\t =-13.3583, 122.0539$

Since the value of the time can not be negative, therefore, the time will be 122.05 seconds.

Hence, the time it will take riders to pass over the hill and reach ground level is 122.05 seconds, thus, the correct option is A.

Learn more about Function:

brainly.com/question/5245372

#SPJ1