From her second floor window 6 meters above the ground, Xiomara throws a tennis ball at a rate of 11 meters per second up towards her friend Itzagueri who is 12 meters above the ground. Assume a(t) = −9.8 meters per sec2 for the acceleration due to gravity. Homework Help ✎
Assuming Itzagueri does not catch the ball, describe the motion of the ball 2 seconds after it was thrown.
When does the ball reach its highest point?
Will the ball reach Itzagueri? Support your answer with calculations.
Determine how high the ball is when it is falling at the rate of 5 meters per second.
At t = 2, is the ball rising or falling? Is it's velocity increasing or decreasing?
The ball stops moving at its highest point.
The height is given by h(t) = –4.9t2 + 11t + 6.
h(answer from part (b)) ≈ 12.173 m; so yes.
Before you evaluate the height, find the time when
v(t) = −5.
Be sure to explain the significance of BOTH the integrand and the bounds.