Kinematics unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Scalar vs vector
Sign conventions
Kinematic equation without displacement
Velocity-time graph
Reference frame
Slope of a position-time graph
Instantaneous velocity
Slope of a velocity-time graph
Average velocity vs average speed
Projectile launched at an angle
Displacement vs distance
Symmetry of projectile flight
Short answer 1. Define or explain: Linearizing data
3 ptsShort answer 2. Define or explain: Average vs instantaneous velocity
3 ptsShort answer 3. Define or explain: Reading a curved position-time graph
3 ptsShort answer 4. Define or explain: Independence of projectile components
3 ptsFree response
7 ptsA student launches a ball horizontally from the edge of a table of height 1.20 m with speed v₀ and measures where it lands. She repeats the experiment for several launch speeds. (a) Derive an expression for the horizontal distance R in terms of v₀, h and g. (b) The student plots R against v₀ and obtains a straight line through the origin. Explain why the graph is linear, and state what the slope represents in terms of h and g. (c) A second student claims that launching from a greater height would change the slope of the R-versus-v₀ graph. State whether this claim is correct and justify your answer.
Derive an expression for the horizontal distance R in terms of v₀, h and g.
The student plots R against v₀ and obtains a straight line through the origin. Explain why the graph is linear, and state what the slope represents in terms of h and g.
A second student claims that launching from a greater height would change the slope of the R-versus-v₀ graph. State whether this claim is correct and justify your answer.