Physics

Physics

Problem

A cyclist is travelling at 12 m/s12\,\text{m/s}. She applies the brakes, producing a constant deceleration of 3 m/s23\,\text{m/s}^2. a. (i) Calculate the time taken for the cyclist to come to rest. b. (ii) Find the distance travelled during this time.
Intuitive explanation

The key here is recognizing that constant deceleration is just constant acceleration in the negative direction—so all your kinematic equations still apply. You need to identify what you know (v0v_0, aa, and what you're solving for), then pick the equation that connects those quantities without requiring information you don't have. Think about whether you need time, or whether distance alone will get you the answer.

Intuitive explanation

The key here is recognizing that constant deceleration is just constant acceleration in the negative direction—so all your kinematic equations still apply. You need to identify what you know (v0v_0, aa, and what you're solving for), then pick the equation that connects those quantities without requiring information you don't have. Think about whether you need time, or whether distance alone will get you the answer.

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