The height h is the time of seconds that the ball has been in the air with an initial vertical velocity of 48 feet per second from a height of 5 feet above the ground is given by the equation

h=-16t^2 + 48t + 5

where t is the time in seconds that the ball has been in the air. After how many seconds in the ball at of 37 feet.

1 answer

I have not seen a gravity problem in feet instead of meters for a while.

37 = -16 t^2 + 48 t + 5

16 t^2 - 48 t + 32 = 0

t^2 - 3 t + 2 = 0

(t-2)(t-1) = 0
t = 1 or 2
so
the ball is at 37 feet after one second on the way up and at two seconds on the way down