A commuter backs her car out of her garage with an...

A commuter backs her car out of her garage with an acceleration of 1.40 $\mathrm{m} / \mathrm{s}^{2}$ . (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration?

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Key Concepts

Uniform Acceleration

Uniform acceleration describes motion where the rate of change of velocity remains constant throughout the motion. This assumption allows the use of kinematic equations to relate velocity, acceleration, time, and displacement, making it possible to solve for any one of these variables given the others.

Acceleration

Acceleration is the measure of how quickly an object's velocity changes over time. It is a vector quantity that includes both magnitude and direction, indicating whether the object is speeding up or slowing down.

Velocity

Velocity is the rate at which an object changes its position, expressed as a vector with both magnitude and direction. It plays a central role in kinematics because changes in velocity, under constant acceleration, allow us to compute the time taken to reach a certain speed.

Deceleration

Deceleration refers to a reduction in the speed of an object and is essentially negative acceleration. It quantifies how quickly the object slows down and is determined by the change in velocity over the given time interval.

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