Question

A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it

Name: a particle starts from rest accelerates at 2 ms2 for 10s and then goes for constant speed for 30s and then decelerates at 4 ms2 till it stops what is the distance travelled by it
Uploaded: 2021-12-03T14:50:48-08:00
Duration: 2 min 28 s
Channel: Dharmendra Maheshwari
Description: a particle starts from rest accelerates at 2 ms2 for 10s and then goes for constant speed for 30s and then decelerates at 4 ms2 till it stops what is the distance travelled by it

          A particle starts from rest, accelerates at 2 m/s2 for 10s and then
goes for constant speed for 30s and then decelerates at 4 m/s2 till it
stops. What is the distance travelled by it

Added by Vk V.

Calculus for AP

Jon Rogawski & Colin Adams 3rd Edition

Chapter 5

Instant Answer

Solved by Expert Dharmendra Maheshwari

12/03/2021

Step 1

Given initial velocity, \( u = 0 \), acceleration, \( a = 2 \, m/s^2 \), and time, \( t = 10 \, s \). Using the equation \( s = ut + \frac{1}{2}at^2 \), we can calculate the distance traveled during acceleration phase: \[ s = 0 \times 10 + \frac{1}{2} \times 2 Show more…

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A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it