A car is driving to the right at \(20\,\text{m/s}\). A motorcycle starts \(30\,\text{m}\) behind the car and is moving at \(30\,\text{m/s}\) in the same direction.(a) Will the motorcycle catch up to the car? , (b) If so, how long does it take and how far from the car’s starting point does it happen? , (c) Suppose the car begins accelerating at \(1\,\text{m/s}^2\) exactly \(2\,\text{s}\) after both vehicles start moving. Can the motorcycle still catch up? Explain. :

\( \text{Yes} \) \( t = 3\,\text{s},\; \Delta x = 60\,\text{m} \) \( \text{Yes},\; t = 3.06\,\text{s},\; \Delta x = 61.7\,\text{m} \text{from the car’s start}\)

A car is driving to the right at \(20\,\text{m/s}\). A motorcycle starts \(30\,\text{m}\) behind the car and is moving at \(30\,\text{m/s}\) in the same direction. • Nerd Notes

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AP Physics 1

1.4 Reference Frames and Relative Motion

1.3 Representing Motion

1.2 Displacement, Velocity, and Acceleration

IntermediateFRQMathematicalConceptual20.8k

A car is driving to the right at \(20\,\text{m/s}\). A motorcycle starts \(30\,\text{m}\) behind the car and is moving at \(30\,\text{m/s}\) in the same direction.

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