Explain each of the following answers:

(6) A student throws a metal sphere, which follows the path shown above. If air resistance is negligible, which of the following is a correct relationship between the magnitudes of the accelerations ak, al , and am at the three points shown? (A) ak=aL=OM (B) ak=aL aM (C) ak=aMeal (D) akzal=am (E) ak>am>a (7 )The velocity of a projectile at launch has a horizontal component vh and a vertical component vy. Air resistance is negligible. When the projectile is at the highest point of its trajectory, which of the following show the vertical and horizontal components of its velocity and the vertical component of its acceleration? Vertical Velocity Horizontal Acceleration Velocity A. VV VH B. VV O C. 0 VH D. E. VH ga[El] it. hall is kicked from the ground with an initial speed 1.1] at an angle 6" above the horizontal. Which of the following het describes the magnitudes of the 1velocityr and acceleration of the hall when it reaches the highest point ot'its [9] Two projectiles are launched with the sa me initial speed from the same location, one at a 31]\" angle and the other at a ED\" angle wit the horizontal. The}:r land at the same height at which theyr were launched. If air resistance is negligible, how do the projectiles\" respective maximum heights; H313 and Han. and times in the air. T30 and T511} . compare with each other? Maximum H eight Time in Hi HEB-EH61] Tf-Iti-ETt'i (10) An object is thrown with velocity v from the edge of a cliff above level ground. Neglect air resistance. In order for the object to travel a maximum horizontal distance from the cliff before hitting the ground, the throw should be at an angle 0 with respect to the horizontal of Note: Figure not drawn to scale. (A) greater than 60 above the horizontal (B) greater than 45" but less than 60 above the horizontal [C) greater than zero but less than 45 above the horizontal (D) zero (E) greater than zero but less than 45 below the horizontal B. Projectile Launched horizontally (11) A plane is moving horizontally through the sky with speed v. A package is dropped from the plane and travels a horizontal distance x from the point of release to where it lands on a target. If air resistance is negligible, the height from which the package is released is (12) A target 7 lies flat on the ground 3 m from the side of a building that is 10 m tall, as shown above. A student rolls a ball off the horizontal roof of the building in the direction of the target. Air resistance is negligible. The horizontal speed with which the ball must leave the roof if it is to strike the target is most nearly 10 m T 3 m m/s(13) A small sphere is launched horizontally with a speed vo toward a target a horizontal distance D away. The sphere lands on the target that is at height H below the height from which the sphere was launched. If the sphere were launched again, but with a speed 2vo, how high above the target would the sphere have to be launched horizontally to hit the same target, still a horizontal distance D away? H 4