A wind-up toy car is released from rest. It accelerates up to a maximum speed over the first 2 m it travels before slowing back down to a stop over the next 5 m. If the car travels in the positive direction, what is the direction of its acceleration (a) over the first 2 m and (b) over the last 5 m? (c) Over which distance is the magnitude of the acceleration greater?

From the top of a cliff, a person throws a stone straight downward. The initial speed of the stone just after leaving the person's hand is 9.9 m/s. (a) What is the acceleration (magnitude and direction) of the stone while it moves downward, after leaving the person's hand? Also, is the stone's speed increasing or decreasing? (b) After 0.48 s, how far beneath the top of the cliff is the stone? (Give just the distance fallen, that is, a magnitude.)

In a test run, a certain car accelerates uniformly from zero to 21.6 m/s in 2.15 s. (a) What is the magnitude of the car's acceleration?(b) How long does it take the car to change its speed from 10.8 m/s to 21.6 m/s?

By shooting water from its rear, a squid can provide itself with jet propulsion. Suppose a squid launches itself vertically upward from rest with constant upward acceleration for 0.890 s and travels a vertically upward distance of 2.72 m.  The squid then turns off its jets and continues its flight in free fall.  (a) What is the magnitude of the squid’s acceleration during the time it is jetting? (b) How long does it take the squid to reach its maximum height while in free-fall after jetting? (c) What maximum height did the squid attain?