Question

Deon throws a ball into the air. The height h of the ball, in meters, at time t seconds is modeled by the function

h) = -5t +t+4 Will the ball reach a height of 5 meters?

Answer 1

Um Yes i dont know how but -5 is not a lot and then it addition so Yes will be my answer to this. mY Opinion

Answer 2

No, the ball will not get to a height of 5 m

How to know it the ball will reach the height

Assuming the given equation is

h(t) = -5t² + t + 4

The height will get to 5 meters if, when we replace h(t) in the equation and solve for t. If t gives us a real non negative value then the ball will get to height 5 m. If the value of t, is negative or imaginary values then the ball will not get to 5m

Substituting h(t) = 5

5 = -5t² + t + 4

-5t² + t - 1

Using calculator: t = 0.1 + 0.44i OR 0.1 - 0.44i (imaginary values)

Solving graphically, shows that the values of t are imaginary, hence we can say that the ball will not reach a height of 5 m