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 $2.00 \mathrm{m} / \mathrm{s}$ ? (b) If she then brakes to a stop in 0.800 s, what is her acceleration?

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Key Concepts

Deceleration

Deceleration refers to the reduction in speed of an object and is characterized by a negative acceleration. In braking scenarios, it quantifies how rapidly the object slows down and is calculated by dividing the decrease in velocity by the time taken for that decrease.

Velocity

Velocity is a vector quantity that describes both the speed and the direction of an object's motion. It is critical in dynamics, as the difference between initial and final velocities, along with the time interval, determines the acceleration.

Kinematic Equations

Kinematic equations are formulas that connect displacement, initial velocity, final velocity, acceleration, and time. They are essential tools for solving problems in dynamics when acceleration does not change, with common forms such as v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time interval.

Constant Acceleration

Constant acceleration means that an object's acceleration remains the same throughout its motion. In such cases, the kinematic equations can be directly applied because the relationship between initial velocity, final velocity, acceleration, and time is linear.

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