Question
Download Similar Ques

# A car accelerates uniformly from 18 km/hr to 36 km/hr in 5s. Calculate the acceleration and the distance covered by the car at that time.

• 1.4 m/s2
• 2.3 m/s2
• 3.2 m/s2
• 4.1 m/s2
Correct Answer
Option 4:1 m/s2
Solution

The acceleration of the car is 1 m/s2 and the distance traveled by car is 37.5 m at that time. Steps to Calculate the acceleration and the distance covered by the car at that time:

Step 1: It is given that

Initial velocity,

u = 18 km/hr = 5 m/s

Time, t = 5s

Final velocity,

v = 36 km/hr = 10 m/s

Step 2: We can use the formula

The first equation of motion is, v = u + at

The second equation of motion is, s = ut + ½ at2

Step 3: Determine the acceleration

Using the first equation of motion,

v = u + at

10 = 5 + a (5)

a = 1 m/s2

Step 4: Determine the distance covered

Using the second equation of motion, find the distance s.

s = ut + ½ at2

= 5 (5) + ½ (1) (5)2

= 37.5 m

### Acceleration

Acceleration can be defined as the rate of change of velocity with respect to time. It is a vector quantity because it has magnitude and direction. It can also be expressed as the second derivative of position.

### Types of Acceleration

1. Uniform Acceleration: When an object moves in a straight line with constant acceleration at equal time intervals, it is called uniform acceleration.

2. Non-Uniform Acceleration: Non-Uniform Acceleration occurs when an object moves with an increased speed at uneven time intervals.

3. Instantaneous Acceleration: The acceleration of an object at a specific point in time is called instantaneous acceleration.

Summary:

A car accelerates uniformly from 18 km/hr to 36 km/hr in 5s. Calculate the acceleration and the distance covered by the car at that time.

A car accelerates uniformly from 18 km/hr to 36 km/hr in 5s. The acceleration is 1 m/s2 and the distance covered is 37.5 m by the car in that time. Acceleration is the rate of velocity change based on time.

### Comments

write a comment
Prev. Question
Next Question
Similar Questions
View All
Time, Speed and DistanceArithmetic
Get solutions to similar questions at one place
Download PDF
Free quizzes for your preparation
Attempt Now
Previous year sample papers
Solve Now
Explore more information about your exams
Know More
GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 bepstudentsupport@byjus.com