The quadratic function models the football’s height y=-16x^2+60x after x seconds. how long is thefballin?
The quadratic function models the football’s height y=-16x^2+60x after x seconds. how long is the fball in air??
Possible answers:
A 1.94 sec
B 6.63 sec
C 15 sec
D 3.75 sec
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Verified answer
when the ball reaches the ground again its height is zero ie y = 0
then - 16x^2 + 60 x = 0 or,
16x^2 - 60x = 0
this gives 2x( 8x - 30 ) = 0 this gives x = 0 and x = 30/8 = 3.75 sec
x = 0 is a trivial solution and the ball is in the air 3.75 secs