An object\'s position y is given as y = At2 + Bt + C, where A, B, and C are cons

Question

An object's position y is given as y = At2 + Bt + C, where A, B, and C are constant and t is time.

1. Choose all the are correct from the following. (Can have more than one answer)
a. If C = 0 (A and B are non-zero), the object's motion is a constant-acceleration motion.
b. If B = 0 (A and C are non-zero), the object's motion is a constant-velocity motion.
c. If A = 0 (B and C are non-zero), the object's motion is a constant-velocity motion.
d. The position at time t = 0 s is C regardless of the values of A and B.

2. If A is a negative number and B is a positive number, which of the following correctly describe the motion?
a. the object initially moves in the negative direction, and dlows down until it stop. Once it stops, it doesn't move again.
b. The object initially moves in the positive direction, and slows down until it stops. Once it stops, it doesn't move again.
c. The object initially moves in the positive direction, slows down, and eventually turns around and starts moving in the negative direction.
d. The object initially moves in the negative direction, and slows down, and eventually turns around and starts moving in the positive direction.

Explanation / Answer

1) a. If C = 0 (A and B are non-zero), the object's motion is a constant-acceleration motion. c. If A = 0 (B and C are non-zero), the object's motion is a constant-velocity motion. d. The position at time t = 0 s is C regardless of the values of A and B. 2)b. The object initially moves in the positive direction, and slows down until it stops. Once it stops, it doesn't move again.

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