problems on last years test. Please note that I used a different textbook
and put slightly different emphasis on kinematics vs. dynamics.
Do not put to much effort in solving these problems. I recommned the book
examples.

1) A ball is thrown vertically up by a juggler and caught back 2 seconds
later. What is the maximum height reached by the ball?

2) You are on the edge of a vertical cliff that is 19.6 m high and you throw
a stone horizontally with a speed of 20m/s. How far from the foot of the cliff
will the stone hit the ground?

3) A motor boat can travel at 10km/h in still water. A river flows at a speed
of 5 km/h west. A boater wishes to cross from the south bank to a point
directly opposite on the north bank. At what angle must the boat be headed?

4) A 1000 kg car is pushed along a level road by four students who apply a
total force of 100N. Neglecting friction
a) what is the acceleration of the car
b) what speed will the car have after half minute effort?

5) A man weighting 60 kg is in an elevator that is accelerating upwards at 5
m/s^2.
What is the total force exerted on him by the elevator floor?
What is the force during the descent with the same value of acceleration?

6) A tennis ball dropped from a hight of 5m bounces up loosing 30% of its
mechanical energy at each bounce. You can see the bounce only if the ball moves
up by more than 11 cm after the bounce. How many bounces should you see?

7) A movie actor has to perform a stunt of driving a motorcycle onto a ramp
inclined 30 degrees with respect to the road and jump from the end of the ramp
over two police cars. He will then land on the embankment thatis at the same
level as the end of the ramp. The total length of the jump must be 10m 
in order to reach the embankment. Neglecting air resistance and friction, what
is the minimum speed that the stuntman has to reach on the ramp in order to
succeed?