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Chapter 3 Bonus Problems

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					               Chapter 3 Bonus Problems
                        Due: One Week After Test

1.) A roller coaster travels 41.1m at an angle of 40 degrees above the horizontal. How
    far does it move?

2.) If a person can jump a horizontal distance of 3 m on Earth, how far could the
    person jump on the moon, where the free-fall acceleration is one-sixth-g?

3.) A science student is riding a flatcar of a train moving at a constant speed of 10
    m/s, throws a ball toward the caboose along a path that the student judges as
    making an initial angle of 60 degrees above the horizontal. The teacher, who is
    standing on the ground nearby, observes the ball rising vertically. How high does
    the ball rise?

4.) A football is thrown toward a receiver with an initial speed of 18 m/s at angle of
    35 degrees above the horizontal. At that instant, the receiver is 18 m form the
    quarterback. In what direction and with what constant speed should the receiver
    run to catch the football at the level with which it was thrown?

5.) A ball is projected horizontally from the edge of a table that is 1 m high, and it
    strikes the floor at a point 1.2 m from the base of the table. A.) What is the initial
    speed of the ball? B.) How high (above the floor) does the ball go when its
    velocity makes a 45 degree angle with the horizontal?

6.) A rocket is launched at an angle of 53 degrees above the horizontal with an initial
    speed of 75 m/s. It moves for 25s along its initial line of motion with an
    acceleration of 25 m/s2. At this time its engines fail and the rocket proceeds to
    moves as a projectile. A.) What is the rockets maximum altitude? B.) What is the
    rockets total time of flight? C.) What is the rockets horizontal range?

7.) A daredevil is shot out of a cannon at 45 degrees to the horizontal with an initial
    speed of 25 m/s. A net is positioned a horizontal distance of 50 m from the
    cannon. At what height above the cannon should the net be placed in order to
    catch the daredevil?

8.) A place kicker must kick a football from a point 36 m from the goal, and the ball
    must clear the crossbar, which is 3.05 m high. When kicked, the ball leaves the
    ground with a speed of 20 m/s at an angle of 53 degrees to the horizontal. A.) by
    how much does the ball clear or fall short of clearing the crossbar? B.) Prove
    whether the ball approaches the crossbar while still rising or falling?

9.) When a water gun is fired while being held horizontally at a height of 1m above
    ground level, the water travels a horizontal distance of 5m. A child holds the same
    gun in a horizontal position while sliding down a 45 degree incline at a constant
   speed of 2 m/s. If the child fires the gun when it is on the slide 1 m above the
   ground, and the water takes .329 s to reach the ground, how far will the water
   travel horizontally

10.) A ship maneuvers to within 2500 m of an island’s 1800 m high mountain peak
and fires a projectile at an enemy ship 610 m on the other side of the peak. If the ship
shoots the projectile with an initial velocity of 250 m/s at an angle of 75 degrees, how
close to the enemy ship does the projectile land? How close (vertically) does the
projectile come to the peak?

11.) A pickup truck travels on a straight, level highway with a speed of 90 km/h. If a
person riding in the back of the truck throws an object toward the side of the highway
with a speed of 10.5 m/s at an angle of 37 degrees above the horizontal, where does
the object land? Assume that the object is released 2.2 m above the ground level and
neglect air resistance.

				
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