Review Test #1: Introduction to Kinematics

Reading: Ch. 2, p.p. 30-51

Topics: Factor-Label Method, Displacement, Average Velocity,

Sketch Graphs, d-t graphs, v-t graphs

Labs & Activities: Metric Olympics, Motion of the Flip-over Cars, Graph Matching

Equations:

vavg = ΔdΔd = d2-d1

t

Objectives:

  • Be able to convert units
  • Be able to use scientific notation
  • Know units and definitions of displacement, average and instantaneous velocity, time.
  • Understand the difference between vectors and scalars.
  • Be able to solve word problems involving distance, displacement, speed, velocity, and time.
  • Be able to set up problems using appropriate symbols and units.
  • Understand average velocity in problems where an object moves in multiple ways is total displacement over total time traveled.
  • Be able to draw and interpret sketch graphs.
  • Be able to read a graph and calculate the slope.
  • Be able to do a problem and graph the results or to use a graph to solve a problem.
  • Be able to draw a velocity versus time graph to match a position versus time graph.
  • Be able to find displacement using area on a velocity vs. time graph.

On test day:

Arrive promptly with pen or pencil and a calculator. Clear desks of all other materials. When everyone is settled I will hand out the test.

Do not rush. It is not a race. I am testing your comprehension not how quickly you can finish. Remember to show all you work and to be clear. I will reward partial credit if I can follow your reasoning (assuming it is correct). Bring something to do quietly in case you do finish early.

Review Questions & Problems

1. Express the following numbers in scientific notation.

a) 12,076 b) 0.00032

  1. A car moves at a speed of 50 mi/hr. Express this speed in m/s.
  1. Mary walked 4.0 m to the trash can and back again in 12 seconds. What was her:

a) distance traveledb) displacement

  1. How long would it take for a toy car moving at 0.5 m/s to travel 1 mile?
  2. A police car leaves the scene of a crime in pursuit of a thief 0.5 hours after the getaway car left the scene of the crime at 120 km/h. How fast must the police car go if it is to catch up with the thief in 1.0 h?
  1. On July 2, 1988 Steve Cram of Great Britain ran a mile in 3.81 min. During this amazing run, what was Steve Cram’s speed in a) miles/minute b) miles/hour
  1. Draw a velocity versus time graph to match the

position versus time graphs shown .

  1. A boat travels 45 m/s for 10 minutes and then at a speed of 90 m/s for 30 minutes. Calculate its average velocity.
  1. Consider the velocity vs. time graph shown.
  1. During which time interval is the object at rest?
  1. During which interval is the speed of the object

decreasing?

  1. Explain in words the motion shown on the position time

graph to the right. Sketch a velocity time graph to

match the situation.

  1. Use the velocity time graph provided to calculate the object’s total displacement.
  1. a. What equation describes the motion shown

on the graph to the right?

b. Use the equation to calculate when the object

will be 10 miles from the origin.