Question

H=-16t^+55t+50 where h is the height of the bird and t is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40

Answer 1

It will take the bird 3.61 seconds to reach a height of 40.

Explanation:

You have:

H=-16t²+55t+50

where H is the height of the bird and t is the amount of time, in seconds, the bird has been in the air.

To know the time it will take for the bird to reach a height of 40, you must replace the height H with 40:

40=-16t²+55t+50

Then:

0= -16t²+55t+50-40

0=-16t²+55t+10

Being a quadratic function of the form 0 = A * x + B * x + C, to calculate the values ​​of x the expression can be applied:

`x1,x2=\frac{-B+-\sqrt{B^(2) -4*A*C} }{2*A}`

In this case, being A = -16, B = 55 and C = 10 and replacing, the values ​​are obtained: t1 = 3.61 and t2 = -0.173. Since time cannot be negative, it will take the bird 3.61 seconds to reach a height of 40.