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A ball is thrown into the air with an upward velocity of 80 feet per second. The function h = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground?

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Answer:

A ball is thrown vertically upward from ground level with an initial velocity of 80 feet per second. The ball's h height after t seconds is given by the equation h = −16t^2 + 80t. How long will it take for the ball to hit the ground?

A) 5 Seconds

B) 6 Seconds

C) 7 Seconds

D) 8 Seconds

Step-by-step explanation:

The correct answer for this problem is

A) 5 Seconds

The ball will reach the ground in 5 seconds

What is a linear equation ?

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1

h = 0 in two cases , one initially when the ball is about to thrown and second when the ball come back to ground after reaching maximum height

using linear equation ,  

h = -16[tex]t^{2}[/tex]+ 80t

when h =0

-16[tex]t^{2}[/tex] + 80t = 0

t* ( -16 t + 80 ) =0

t = 80 /16

t = 5 sec

learn more about linear equation :

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