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?
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
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\(t^{2}\)+ 80t
when h =0
-16\(t^{2}\) + 80t = 0
t* ( -16 t + 80 ) =0
t = 80 /16
t = 5 sec
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