Mechanics – Unit 3 Test Review

Motion at Constant Acceleration

  1. Find the uniform acceleration that causes a car’s velocity to change from 32 m/s to 96 m/s in an 8.0 s period.
  1. Determine the displacement of a plane that is uniformly accelerated from 66 m/s to 88 m/s in 3s at a uniform rate of acceleration.
  1. A car moving westward along a straight, level road increases its velocity uniformly from 16 m/s to 32 m/s in 10.0 s. What is the car’s acceleration?
  1. What is the car’s average velocity in question 3?
  1. A car traveling at 7.0 m/s accelerates at the rate of 0.80 m/s2 for an interval of 2.0 s. Find Vf.
  1. An engineer must design a runway to accommodate airplanes that must reach a ground velocity of 220 km/hr before they can take off. These planes are capable of being accelerated uniformly at a rate of 2.5 m/s2. How long will it take the planes to reach takeoff speed? What must be the minimum length of the runway?
  1. Sketch the position, velocity, and acceleration graphs for the following motions:
  1. a city bus that is moving with constant velocity
  1. a wheelbarrow that is speeding up at a constant acceleration while moving in the positive direction
  1. a camel that is slowing down at a uniform rate of acceleration while moving in the negative direction
  1. A professional race car driver buys a car that can accelerate at 5.9 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 1.0 s before the driver of the sports car. The stock car moves with a constant acceleration of 3.6 m/s2.
  1. Find the time it takes the sports car driver to overtake the stock car driver.
  1. Find the distance the two drivers travel before they are side by side.
  1. Find the velocities of both cars at the instant they are side by side.
  1. How far does a plane fly in 15 s while its velocity is changing from 145 m/s to 75 m/s at a constant acceleration?
  1. A sailboat starts from rest and accelerates at a rate of 0.21 m/s2 over a distance of 280 m. Find the magnitude of the boat’s final velocity.
  1. Find the time it takes the boat to travel this distance in question 10.