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Goal: Calculate acceleration from a finite velocity change and test consistency with a net-force model.

Before this: Rearrange linear equations and use cosine of an angle.

Try together: Together calculate a cart’s velocity change over 3 s if mass is 2 kg and net horizontal force is 4 N, starting at rest.

Goal: Predict a combined final velocity and explain the isolated-system assumption.

Before this: Use signed numbers and solve a linear equation.

Try together: Together model two 1 kg carts, one at 4 m/s east and one initially at rest, that stick. Find the final velocity.

Goal: Calculate an energy budget and write a repeatable sequence for predicting kinetic energy and speed.

Before this: Use squares, square roots and gravitational energy mgh.

Try together: Together run the algorithm for the same object and height with 80 J transferred from the mechanical account.

Goal: Calculate wavelength and predict how one changed condition affects a wave model.

Before this: Rearrange v=fλ and read units.

Try together: Together calculate the frequency of a model wave with speed 12 m/s and wavelength 0.5 m.

Goal: Calculate three force ratios and explain both magnitude and direction under a point-charge model.

Before this: Use squares, ratios and signs.

Try together: Together find the ratio when both charge magnitudes double at the original distance.

Goal: Recommend and refine a model packaging design using stopping time, average force and space constraints.

Before this: Understand momentum and divide by a time interval.

Try together: Together explain why a design that rebounds could have a different momentum change even with the same incoming speed.