Natalie found a tennis ball outside a tennis court she picked up the ball and threw it over the fence into the court. The path of the ball can be represented by h=-16t^2+25

Question

Natalie found a tennis ball outside a tennis court she picked up the ball and threw it over the fence into the court. The path of the ball can be represented by h=-16t²+25

Answer 1

h = -16t^2 + 25t, so the initial velocity is 25...

= t( -16t + 25)

a=-16 b=25

max occurs at -b/(2a) = -25/(2*-16) = 25/32

max height is (25/32) ( -16 * 25/32 + 25)

(25/32) ( -25/2 + 25)

(25/32)( -25/2 + 50/2)

(2/32)(25/2)

50/64

25/32

balls hits the ground when t(-16t + 25) = 0

t = 0 or -16t + 25 = 0

-16t = -25

t = 25/16

t= 1 and 9/16 sec = 1.5625 sec or t=0 secs