Question

When Ben jumps into the air, his height in feet above the surface of the water is given by h = − 16 t 2 + t + 6 where t is the amount of time in seconds since he dove. Use the quadratic formula to help you determine how long it takes for Ben to hit the water

Answer 1

Answer: 0.64sec

Step-by-step explanation:

h= -16t2 + t + 6

a= -16 b=1 c= 6

Using the quadratic equation formular

X = -b ± √b2 - 4ac / 2a

X= -1 ± √1^2 - 4(-16)6 / 2(-16)

=-1 ±√1+384 / -32

= -1 ±√385 / -32

Either X = -1 + 19.62 / -32

= 18.62 /-32

=-0.58 sec

Or X = -1-19.62 / -32

= -20.62 / -32

= 0.64sec

Since there is no negative time, therefore our answer is 0.64sec