The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by the equation h(t)=-16t^2+10t+100 where t is the time in seconds and h is the ball’s height, measured in feet. When will the ball hit the ground? Round your answer to the nearest tenth.
A.
1.4 seconds
B.
2.8 seconds
C.
3.1 seconds
D.
3.7 seconds

Question

The height of a ball thrown directly up with a velocity of 10 feet per second from a initial height of of 100 feet is given by the equation h(t)=-16t^2+10t+100 where t is the time in seconds and h is the ball’s height, measured in feet. When will the ball hit the ground? Round your answer to the nearest tenth.
A.
1.4 seconds
B.
2.8 seconds
C.
3.1 seconds
D.
3.7 seconds

anonymous · Answer

Since the ball is on the ground, h = 0
0 = -16t^2 + 10t + 100
Now use quadratic formula to get your answer.

anonymous · Answer

After using quadratic formula, I got 2.83 as my answer, so the answer is B.

anonymous · Answer

Thanks so much:)

anonymous · Answer

No problem :)