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.