1. A car’s velocity increases from rest to 14 m/s, E, in 3.5 sec. What is its acceleration? What is its acceleration if it next slows down to 7 m/s, E, in 2 sec?
2. A mass is attached to a string and then dropped. What is its velocity after 5 sec?
3. A car accelerates from 6 m/s, W, to 20 m/s, W, over a distance of 50 m. What is its rate of acceleration?
4. A ball rolls off a horizontal roof 5 m above the ground. How long does it take to hit the ground?
5. A car is moving at 16.67 m/s when it begins to slow at the rate of 1.5m/s². How long does it take for it to go 70 m?
6. At the instant a traffic light turns green, a waiting car takes off with a uniform acceleration rate of 8 m/s². At exactly the same instant, another car, traveling at a constant rate of 20 m/s, passes the first car in another lane. How long does it take the first car to overtake the second? How far does the first car travel before overtaking the second? How fast is the first car traveling at the moment it overtakes the second car?
7. Using data collected in an experiment, a student determined the speed of his object at each time interval. Ignore any acceleration due to a change in direction. Draw your graph with connected data points (not best-fit line!).
   (time in sec, speed in m/s)
   (0, 0)
   (1, 2)
   (2, 2)
   (3,5)
   (4, 1)

   • a) During which time interval did the object move at constant speed?
   • b) When was the object’s rate of acceleration the greatest?
   • c) What was the object’s rate of acceleration between 3 and 4 seconds?
   • d) What was his displacement between 3 and 4 sec?

   A car initially traveling at 20 m/s puts on its brakes and slows to 10 m/s in 5 s. What distance did it travel over this braking interval?

   A girl stands 2 m above the ground and throws a ball into the air with an upward velocity of +5 m/s. How long does it take the ball to reach its apex? How high above the ground is the apex? How long does it take the ball to hit the ground?

Acceleration Notes

Acceleration Homework