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# Massachusetts Comprehensive Assessment System

## 2015, High School Intro Physics

 Question 23: Open-Response Reporting Category: Motion and ForcesStandard: 1.1 - Compare and contrast vector quantities (e.g., displacement, velocity, acceleration, force, and linear momentum) and scalar quantities (e.g., distance, speed, energy, mass, and work). A student conducts an investigation to determine a ball’s mass, displacement, velocity, and kinetic energy.Identify each of the following as either a vector quantity or a scalar quantity:massdisplacementvelocitykinetic energyDescribe how vector quantities are different from scalar quantities.The student measures the mass of the ball to be 0.25 kg. The ball is set in motion, and the student determines the magnitude of the ball’s maximum velocity to be 11 m/s.Calculate the maximum kinetic energy of the ball. Show your calculations and include units in your answer.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The response demonstrates a thorough understanding of vector quantities, scalar quantities, and kinetic energy. The response correctly identifies the vector quantities and the scalar quantities in the investigation and clearly describes the difference between vector and scalar quantities. The response also correctly calculates the maximum kinetic energy of the ball.
4
3 The response demonstrates a general understanding of vector quantities, scalar quantities, and kinetic energy.
2 The response demonstrates a limited understanding of vector quantities, scalar quantities, and kinetic energy.
1 The response demonstrates a minimal understanding of vector quantities, scalar quantities, and kinetic energy.
0 The response is incorrect or contains some correct work that is irrelevant to the skill or concept being measured.

Note: There are 2 sample student responses for Score Point 4.

Question 12:
Question 23:
Question 32:
Question 44:
Question 45: