# Unit 3 Activity 7 - Linear Motion with Varying Acceleration

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Use this intermediate activity to help your students solve multi-part linear motion problems! Field-tested with hundreds of students and years in the classroom, designed to get maximum results with minimum time invested for both student and teacher!

Following up on Activity 6 (which required students to use multiple equations ans steps for the first time), Activity 7 introduces problems that have more than one interval (with a unique value for acceleration in each).

Students who have been able to 'wing it' in previous activities without writing down much of their work will often encounter great difficulty when working on this activity. Students are required to take answers from each interval and work them into later work - which requires organization in their written work.

Each year, a large chunk of students who argue they can do the work 'in their head' finally hit the wall in these activities - this makes Activity 7 a great opportunity to teach the value of organized algebraic work to your students.

Correlates with standards on the New York State Regents Exam in Physics, but questions are of a level slightly higher than questions traditionally asked on exam. Also aligns strongly with many other standardized test questions in linear motion (AP Physics 1/2, SAT II Physics).

Activities:
- Solve multi-part linear motion problems using the following equations:
- v = d/t
- vf = vi + at
- a = Δv / t
- d = vit + (1/2)at²
- vf² = vi² + 2ad
- vavg = (vi + vf) / 2
- Take final values for velocity/displacement in one interval and use them to craft initial conditions for next interval
- Calculate cumulative displacement/distance traveled for multi-leg journey
- Correctly accounting for direction in problems

Contents:
- 7 questions
- Detailed Answer Key with step-by-step solutions for all short answer problems
- Activity comes in PDF format, ensuring accurate reprints
- Equation and Reference Sheet provided
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1 page
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