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# A car accelerates uniformly from 18 km/h to 36 km/h in 5 minutes. The acceleration is

Learn about the consistent acceleration of a car, propelling it from 18 km/h to 36 km/h over a period of 5 minutes.

by Maivizhi A

**Updated **Feb 24, 2024

## A car accelerates uniformly from 18 km/h to 36 km/h in 5 minutes. The acceleration is

**The acceleration of the car is 216 km/h^2.**

Read more at: https://edurev.in/question/1640705/A-car-accelerates-uniformly-from-18kmh-to-36kmh-in-5-minute--The-acceleration-is--

To find the acceleration of the car, we need to first convert the initial and final velocities from km/h to m/s since acceleration is typically measured in meters per second squared (m/s²).

When using the formula for acceleration:

a = (v - u) / t

Substituting the given values:

a = (36 - 18) / (1/12)

This simplifies to:

a = 18 / (1/12)

To divide by a fraction, we multiply by its reciprocal:

a = 18 * (12/1) = 216

However, the units are incorrect. Acceleration is typically measured in meters per second squared (m/s²), not kilometers per hour squared (km/h²). To convert from km/h² to m/s², we need to use the appropriate conversion factor. Since 1 km/h² = (1000/3600) m/s², we'll multiply by this factor to convert:

216 * (1000/3600) = 60

So, the acceleration of the car is 60 m/s².

## How to Calculate Acceleration?

Acceleration is calculated using the formula:

a = (Δv) / (Δt)

Where:

- a = acceleration
- Δv = change in velocity
- Δt = change in time

If the initial velocity is vi and the final velocity is vf, then the change in velocity is:

Δv = vf - vi

So, the formula for acceleration can also be written as:

a = (vf - vi) / (Δt)

For example, if the initial velocity of an object is 20 m/s, the final velocity is 30 m/s, and the time it took to change velocity is 5 seconds, you can calculate the acceleration as follows:

Δv = vf - vi = 30 m/s - 20 m/s = 10 m/s

a = (Δv) / (Δt) = (10 m/s) / (5 s) = 2 m/s^2

So, the acceleration of the object is 2 m/s^2.

## A car accelerates uniformly from 18 km/h to 36 km/h in 5 minutes. The acceleration is - FAQs

1. What is the acceleration of the car in this scenario?

The acceleration of the car is 60 m/s².

2. How did you determine the acceleration?

Acceleration was calculated using the formula a = (Δv) / (Δt), where Δv is the change in velocity and Δt is the change in time.

3. Why did you convert the velocities from km/h to m/s?

Acceleration is typically measured in meters per second squared (m/s²), so converting velocities to m/s was necessary for accurate calculation.

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