A hot rod can accelerate from 0 to 60 km / h in 5.4 s. (a) What is its average acceleration. i

step 1 Okay, the top speed is 60 kilometers per hour. There are a thousand meters in a kilometer, and t

A hot rod can accelerate from 0 to 60 km / h in 5.4 s. (a)...

A hot rod can accelerate from 0 to $60 \mathrm{~km} / \mathrm{h}$ in $5.4 \mathrm{~s}$. (a) What is its average acceleration. in $\mathrm{m} / \mathrm{s}^{2}$, during this time? (b) How far will it travel during the $5.4 \mathrm{~s}$, assuming its acceleration is constant? (c) From rest, how much time would it require to go a distance of $0.25 \mathrm{~km}$ if its acceleration could be maintained at the value in (a)?

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Key Concepts

Time Calculation Under Constant Acceleration

When an object accelerates from rest under constant acceleration, specific equations help determine the time required to reach a certain distance. Using equations like s = (1/2)at², one can solve for the time variable by rearranging and taking the square root, a common technique in kinematic analyses.

Kinematic Equations of Motion

Kinematic equations describe the motion of objects under constant acceleration. They include equations that relate displacement, velocity, acceleration, and time. These equations, such as s = ut + (1/2)at² and v = u + at, are critical for solving problems involving acceleration and travel distances.

Unit Conversion

Unit conversion is the process of converting measurements from one set of commonly used units to another. In problems involving speed and acceleration, it is essential to convert units (for example, kilometers per hour to meters per second) to ensure consistency in the equations used.

Average Acceleration

Average acceleration is defined as the change in velocity over the change in time. It is a basic concept in kinematics that quantifies how quickly an object's speed increases or decreases during a time interval.

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