Hi, please help me answer the following True/False questions:

Problem 5 For each of the following statements, indicate whether the statement is true or false, and explain your reasoning. (a): 5 points If object A has a higher speed than object B, object A's momentum is necessarily higher.(b): 5 points If an object at rest explodes into two pieces that fly apart from each other, the two pieces must move in exactly opposite directions.(c): 5 points If an object moves in a circular trajectory, its acceleration vector must point directly towards the center of the circle.(d): 5 points If you and your friend both throw a ball at the same speed, and you throw the ball straight upwards and your friend throws it horizontally, the two balls will have equal speeds when they hit the ground. [Ignoring air resistance.]