Physics 1 · Unit 1 · Paper 3

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.

Paper 1 Paper 2 Paper 3

Each paper is built from this unit’s 52 terms and is the same for everyone, so a teacher can assign “Unit 1, Paper 3” and every student sits the identical test. Multiple choice is marked objectively; the written sections you mark yourself against the model answer and rubric.

Suggested time 37 min 34 points0/17 attempted

Range of a projectile

Zero velocity does not mean zero acceleration

Speed is never negative

Projectile launched at an angle

Acceleration

Interpreting a curved velocity-time graph

Position-time graph

Air resistance breaks projectile symmetry

Kinematic equations condition

When speed increases or decreases

Displacement vs distance

Kinematic equation without displacement

Short answer 1. Define or explain: Velocity-time graph

3 pts

Short answer 2. Define or explain: Sign conventions

3 pts

Short answer 3. Define or explain: Area under a velocity-time graph

3 pts

Short answer 4. Define or explain: Negative area under a velocity-time graph

3 pts

Free response

10 pts

A cart is released from rest at the top of a straight track inclined at an angle θ above the horizontal. Frictional forces are negligible. A motion sensor records the cart's position x measured from its release point. t (s) 0 0.50 1.00 1.50 2.00 x (m) 0 0.60 2.40 5.40 9.60

A(i). Describe the shape of a graph of position versus time for the cart, and state what that shape indicates about the cart’s velocity.

A(ii). Calculate the average velocity of the cart over the interval from t = 0 to t = 2.00 s.

A(iii). Using the data, determine the instantaneous velocity of the cart at t = 1.00 s. Show the work that leads to your answer.

B. Derive an expression for the acceleration of the cart in terms of a measured position x and the corresponding time t, and calculate its numerical value using the data.

C. Derive an expression for the incline angle θ in terms of the acceleration a and physical constants, and calculate θ.

D. The experiment is repeated on a track that is not frictionless. Indicate whether the angle required to produce the same acceleration would be greater than, less than, or equal to your answer in part C, and justify your response.