So I have this problem:
A tennis ball bounces so that its initial speed straight upwards is b feet per second. Its height s in feet at time t seconds is given by s = bt − 16t 2
a) Find the velocity v = ds/dt at time t.
b) Find the time at which the height of the ball is at its maximum height.
c) Find the maximum height.
I have worked out a, b, c and d, which are b-32t, b/32 and b^2/64. At part d), it asks me to calculate where the second bounce is if the second bounce rises to half the height of the first bounce. In the answers sheet it says the second bounce is at b/16 + b/(16*sqrt(2)), but I don't understand this. Shouldn't it be at b/16, where the first bounce ends?
A tennis ball bounces so that its initial speed straight upwards is b feet per second. Its height s in feet at time t seconds is given by s = bt − 16t 2
a) Find the velocity v = ds/dt at time t.
b) Find the time at which the height of the ball is at its maximum height.
c) Find the maximum height.
I have worked out a, b, c and d, which are b-32t, b/32 and b^2/64. At part d), it asks me to calculate where the second bounce is if the second bounce rises to half the height of the first bounce. In the answers sheet it says the second bounce is at b/16 + b/(16*sqrt(2)), but I don't understand this. Shouldn't it be at b/16, where the first bounce ends?
Last edited by a moderator: