PHYSICS 1 Additional Kinematics Practice Problems

  1. Two runners approaching each other on a straight track have constant speeds of +4.50m/s and – 3.50m/s respectively, when they are 100 m apart. How long will it take for the runners to meet, and at what position will this occur if they maintain these speeds?
  1. A plot of position versus time is shown below for an object in linear motion.
  2. What are the average velocities for the segments AB, BC, CD, EF, FG, and BG?
  3. State whether the motion is uniform or non-uniform in each case.
  4. What is the instantaneous velocity at point D?
  1. A sports car can accelerate from zero to 60 mi/h (26.8m/s) in 3.9 s. What is the magnitude of the cars average accelerationin m/s2? If the car can accelerate at a rate of 7.2 m/s2, how long does it take for the car to accelerate from zero to 60 mi/h?
  1. What is the acceleration for each graph segment in the graph below? Describe the motion of the object over the total time interval.

  1. The graph below shows a plot of velocity vs time for an object in linear motion.
  2. Compute the acceleration for each phase of motion.
  3. Describe how the object moves during the last time segment.
  1. A rocket car is traveling at a constant speed of 250km/h on a salt flat. The driver gives the car a reverse thrust, and it experiences a continuous and constant deceleration of 8.25m/s2. How much time elapses until the car is 175 m from the point where the reverse thrust was applied?
  1. A rifle bullet with a muzzle velocity of 330ms/ is fired directly into a special, dense material that stops the bullet in 30 cm. Assuming deceleration to be constant, what is its magnitude?
  1. A jet aircraft being launched from an aircraft carrier is accelerated from rest along a 94-meter track for 2.5s. What is the launch speed of the jet?
  1. The speed limit in a school zone is 40 km/h (about 25 mi/h). A driver traveling t this speed sees a child rune into the road 13 m ahead of his car. He applies the brakes and the car decelerates at a uniform rate of 8.0 m/s2, will the car stop before hitting the child? Assuming a reaction time of 0.50s for the driver, will the car stop in time?
  1. A professional race car driver buys a car that can accelerate at 5.m/s2. The racer decides to race against another driver in a souped-up stock car. Both start from rest, but the stock car driver leaves 1.0s before the driver of the race car. The stock car moves with a constant acceleration of 3.6m/s2.
  2. Find the time it takes the race car driver to overtake the stock car driver.
  3. Find the distance the two cars travel before they are side by side.
  4. Find the velocities of both cars once they are side by side.
  1. Two cars traveling along a straight line in the same direction, the lead car at 25 m/s and the other car at 35 m/s. At the moment the cars are 45 m apart, the lead driver applies the brakes, causing the car to have an acceleration of -2.0m/s2.
  2. How long does it take for the lead car to stop?
  3. Assume the driver of the chasing car applies the brakes at the same time as the driver of the lead car. What must the chasing car’s minimum negative acceleration be to avoid hitting the lead car?
  4. How long does it take the chasing car to stop?
  1. A student drops a ball from the top of a tall building; it takes 2.8s to reach the ground.
  2. What was its speed just before hitting the ground?
  3. What was the height of the building?
  1. A boy throws a stone straight upward with an initial speed of 15m/s on the surface of the Earth.
  2. What maximum height above the starting point will the stone reach before falling back down?
  3. What would the maximum height be if the boy and the stone were on the moon where the acceleration due to gravity is only 1.67m/s2?
  1. The world Trade Center and the Empire State Building in New York have height of 417m and 381m, respectively. If objects were dropped from the top of each building, what would be the difference in time in their reaching the ground? What would be the time of fall from Chicago’s Sears Tower, at 443m?