A powerful motorcycle can accelerate from rest to 26.8 m / s(100 km / h) in only 3.90 s. (a) Wha

step 1 The acceleration of the motorbike A is given by its change in speed B minus U in a time T. And w

A powerful motorcycle can accelerate from rest to 26.8 m /...

A powerful motorcycle can accelerate from rest to $26.8 \mathrm{m} /$ $\mathrm{s}(100 \mathrm{km} / \mathrm{h})$ in only $3.90 \mathrm{s}$. (a) What is its average acceleration? (b) How far does it travel in that time?

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Key Concepts

Average Acceleration

Average acceleration is the rate at which an object’s velocity changes over a given time interval. It is calculated by taking the difference between the final and initial velocities and dividing by the time over which the change occurs. This concept is fundamental in understanding how quickly an object speeds up or slows down in physics.

Uniformly Accelerated Motion

Uniformly accelerated motion refers to motion where the acceleration remains constant over time. In such cases, specific kinematic equations can be applied to relate the variables such as initial velocity, final velocity, acceleration, time, and displacement. These equations allow us to predict one variable if the others are known.

Kinematic Equations for Displacement

Within the framework of uniformly accelerated motion, kinematic equations provide a relationship between displacement, initial velocity, acceleration, and time. One commonly used formula is that displacement equals the initial velocity multiplied by time plus half the acceleration multiplied by the square of time. This equation is critical for solving problems related to the distance covered under constant acceleration conditions.

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