s(t) = 500 − 16t2

Question

What is the velocity as it strikes the ground

Answer 1

about 5.6 seconds to hit the ground

s(t) = 500-16t^2=0

t^2 = 500/16

t = 10sqr5/4 = about 10(2.23)/4 = about 5.6 seconds

v(10sqr5/4)

= -32(10sqr5/4)

= -80sqr5

= about -80(2.23)

= about -179 ft/sec

it decelerates due to gravity at 32 ft/sec/sec for about 5.6 seconds

-32(5.6) = about -179 ft/sec

Answer 2