1. A ball is thrown with an initial speed of 30 m/s at an angle of 45o. Assume the ball is thrown
from ground level and lands at ground level.
a) Find the flight time.
b) Find the maximum height.
c) Find the distance from where it took off to where it landed.
d) Find the speed of impact.
2. A soccer player kicks a ball at 10 m/s at an angle θ.
a) What angle θ would the flight of the ball reach the largest height?
b) What is the maximum height it reaches for θ = 37o?
c) What is the vertical velocity when the ball lands?
d) What is the height of the ball after 1.0 second?
e) How far has the ball traveled after 1 second?
3. A ball is kicked toward a wall with an initial speed of 30 m/s at an angle of 30o with the
horizontal. It hits the wall 2 seconds after it was kicked. Neglect air resistance.
a) What is the distance to the wall?
b) Calculate the time when it reached its highest point in its trajectory.
c) At what height does it hit the wall?
d) Determine the velocity that it hits the wall.
4. A ball thrown with an initial speed of 40 m/s at an angle of θ from horizontal reaches a
maximum height of 60 m. Assume the ball is thrown from ground level.
a) Find the angle θ at which the ball is thrown.
b) Find the speed of the ball at its highest point.
c) Find the distance from where the ball is thrown to where it lands.
5. Suppose a baseball hits the ground at a distance of 164 m exactly 7 s after it has been struck.
a) Find the vertical component of the balls initial velocity.
b) Find the initial velocity of the ball.
c) Find the angle at which the ball was struck.
d) Determine the maximum height of the ball.
6. A block of mass M1 travels horizontally with a constant speed vo on a plateau of height H until
it comes to a cliff. A toboggan of mass M2 is positioned on level ground below the cliff as
shown. The center of the toboggan is a distance D from the base of the cliff. Determine the
distance D in terms of vo, H, and g so that the block lands in the center of the toboggan.
7. A skier skis horizontally over the edge of an 8 m cliff with a velocity of 15 m/s as shown in
the diagram.
a) How long is she in the air?
b) How far away from the cliff does she land?
c) What is her speed of impact with the snow?
d) She finds it is much more fun to jump upwards just as she is leaving the cliff. With some
practice, she finds she can take off at an angle of 15o with the same 15 m/s velocity (magnitude).
How much higher than the edge of the cliff does she fly?