Question

An automobile driver on a straight road increases the speed at a constant rate from $25 \mathrm{~km} / \mathrm{h}$ to $55 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min}$. A bicycle rider on a straight road speeds up at a constant rate from rest to $30 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min} .$ Calculate their accelerations.

Name: Problem 20, Chapter 2: Understanding Physics
Uploaded: 2021-07-20T15:38:36-08:00
Duration: 1 min 56 s
Channel: Manish Kumar ( Iit K )
Description: An automobile driver on a straight road increases the speed at a constant rate from 25 km / h to 55 km / h in 0.50 min. A bicycle rider on a straight road speeds up at a constant rate from rest to 30 km / h in 0.50 min . Calculate their accelerations.

    An automobile driver on a straight road increases the speed at a constant rate from $25 \mathrm{~km} / \mathrm{h}$ to $55 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min}$. A bicycle rider on a straight road speeds up at a constant rate from rest to $30 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min} .$ Calculate their accelerations.

Understanding Physics

Karen Cummings,… 1st Edition

Chapter 2, Problem 20

Instant Answer

Solved by Expert Manish Kumar ( Iit K )

07/20/2021

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So, $0.5$ minutes is equal to $\frac{0.5}{60}$ hours. Show more…

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An automobile driver on a straight road increases the speed at a constant rate from $25 \mathrm{~km} / \mathrm{h}$ to $55 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min}$. A bicycle rider on a straight road speeds up at a constant rate from rest to $30 \mathrm{~km} / \mathrm{h}$ in $0.50 \mathrm{~min} .$ Calculate their accelerations.

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Key Concepts

Constant Acceleration

This concept refers to a situation in which an object’s velocity increases or decreases at a constant rate over time. It is the basis for many kinematics equations used to determine parameters such as displacement, velocity, and acceleration in uniformly accelerated motion.

Acceleration

Acceleration is the rate at which velocity changes over time. It is typically represented by the ratio of the change in velocity to the time interval over which the change occurs. This concept is fundamental in mechanics as it quantifies how quickly an object speeds up or slows down.

Unit Conversion

In problems involving motion, it is often necessary to convert units (for example, converting from km/h to m/s or minutes to seconds) to maintain consistency across calculations. Correct unit conversion is crucial to ensure that calculations adhere to a standard system of measurement, typically the SI system.

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