The car stops at the traffic light. It then moves along a straight path so that its distance from the light is given by x(t) =bt2−ct3, where b=2.40 m/s2 and c=0.120 m/s3. a) Determine the car’s instantaneous velocity at t = 5s and t = 10s. b) How long after starting from rest is the car again at rest

A certain freely falling object, released from rest, requires 1.95 s to travel the last 32.0 m before it hits the ground. (a) Find the velocity of the object when it is 32.0 m above the ground. (Indicate the direction with the sign of your answer. Let the positive direction be upward.) m/s (b) Find the total distance the object travels during the fall. m

т An object is initially located at (3,4) m with a velocity of io = -5£ – 3ŷ. A constant acceleration of å = т 2£ + 3ŷ is applied to the object for an interval of 5 seconds. a) What is the velocity of the object after 5 seconds? (Answer: 5£ + 12ŷ) b) What is the position of the object after 5 seconds? (Answer: 3£ + 26.5ŷ m) c) What is the average velocity of the object over the 5 second interval? (Answer: 0£ + 4.5ŷ–) d) Plot the acceleration vs time for both x and y e) Plot the velocity vs time for both x and y f) Plot the position vs time for both x and y

Another scheme to catch the Roadrunner has failed. A safe falls from rest from the top of a 25.0 m high cliff toward Wile E. Coyote, who is standing at the base. Wile first notices the safe after it has fallen 15.0 m. How long does he have to get out of the way.    Some solutions are using the method of finding the difference of time between 25m and 15m. But some are finding the difference of time between 25m and 10m. Which one is correct?.