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.
Integrating to find position
Range on level ground
Finding turning points on a v–t graph
Motion with a = a(x)
Position, displacement, distance and speed
Arc length and angular displacement
Angular position, velocity and acceleration
Average vs instantaneous quantities
Launching from a height
Speed at a given height
When kinematic equations do not apply
Minimum time versus minimum drift
Short answer 1. Define or explain: River crossing problem
3 ptsShort answer 2. Define or explain: Non-constant acceleration
3 ptsShort answer 3. Define or explain: Period and frequency in circular motion
3 ptsShort answer 4. Define or explain: Choosing coordinates
3 ptsFree response
8 ptsTwo identical blocks are launched horizontally from the edge of a table of height H. Block A leaves the table with speed v, and block B leaves with speed 2v. Air resistance is negligible.
A. Indicate whether block B lands after, before, or at the same time as block A. Justify your answer using qualitative reasoning beyond referencing equations.
B. Derive expressions for the time of flight and the horizontal range of a block launched horizontally from height H with speed v₀.
C. Justify how your derived expressions in part B are or are not consistent with your comparison in part A, and determine the ratio of the two blocks’ horizontal ranges.