A ball is kicked off the ground and in the air with a starting velocity of 29 feet per second. Using the formula H(t) = -16t^2 + vt + s what is the maximum height the soccer ball reaches?

1.14.2 feet
2.13.5 feet
3.13.1 feet
4.13.8 feet

Question

A ball is kicked off the ground and in the air with a starting velocity of 29 feet per second. Using the formula H(t) = -16t^2 + vt + s what is the maximum height the soccer ball reaches?

1.14.2 feet
2.13.5 feet
3.13.1 feet
4.13.8 feet

anonymous · Answer

Help?

anonymous · Answer

get t from 
0 = v0-gt = 29 - (32 ft/s^2) t  
which is time when velocity =0
then use that t in the equation for H(t) given, setting s=0 as it starts from the ground.

sidsiddhartha · Answer

according to douglaswinslowcooper 
u'll get t=29/32
now 
h(t)=-16*(29/32)^2+(29/31)*(29)+0=13.1 feet