Posted by karla on .
Standing on top of the science building, which is 48 m high, a group of students use a slingshot to shoot a steel ball bearing straight up into the air. The ball bearing passes the students on its way down to the ground 3.2 sec after it was shot. (once the ball bearing leaves the slingshot, it accelerates at 9.8m/s/s)
a) With what speed did the ball bearing leave the slingshot?
b) What was the ball's velocity just before it hit the ground?

physics 
MathMate,
a)
Time to reach highest point = 3.2/2=1.6s
0=ugt
Initial velocity, u=9.8*1.6=?
b)
On its way down, the velocity is u at the top of the building, and v on the ground. Acceleration is still 9.8 m/s².
Use
v²u²=2aS
a=9.8 m/s²
S=48m
u= calculated above
Solve for v.
For b)
you could also use energy,
(1/2)mv²(1/2)mu²=mgh
h=48m.