Question

# A body of mass m moving along a straight line covers half the distance with a speed of 2ms−1. The remaining half of the distance is covered in two equal time intervals with a speed of 3ms−1 and 5ms−1 respectively.The average speed of the particle for the entire journey is

A
38ms1
B
83ms1
C
43ms1
D
163ms1
Solution
Verified by Toppr

#### Let the total distance travelled by the body is 2s.If t1 is the time taken by the body to travel first half of the distance ,thent1=S2Let t2 be the time taken by the body for each time interval for the remaining hal journey.S=3t2+5t2=8t2So, average speed =totaldistancetravelledtotaltimetaken=2St1+2t2=2SS2+S4=83ms−1

4
Similar Questions
Q1

A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is

View Solution
Q2

A body covers the first 13 part of its journey with the speed of 2 m/s, next 13 part with the speed of 3 m/s and the rest of the journey with a speed 6 m/s. The average speed of the body will be

View Solution
Q3

A swimmer swims in a 90 m long pool. He covers the distance of 180 m by swimming from one end to other end and back along the same path. If he covers the first 90 m at a speed of 2 ms1, then how fast does he swim such that his average speed is 3 ms1?

View Solution
Q4

A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time interval with speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is

View Solution
Q5

A particle moves on a straight line in such way that it covers 1st half distance with speed 3m/s and next half distance in 2 equal time intervals with speeds 4.5m/s and 7.5m/s respectively. Find average speed of the particle.

View Solution
Solve
Guides