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

4.0 m/s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5.0 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5.5 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4.8 m/s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 4.0 m/s
If $t_{1}$ and $2 t_{2}$ are the time taken by particle to cover first and second half distance respectively.

$t_{1} = \frac{\frac{x}{2}}{3} = \frac{x}{6} . . . . (i)$

$x_{1} = 4.5 t_{2}$ and $x_{2} = 7.5 t_{2}$

So, $x_{1} + x_{2} = \frac{x}{2} \Rightarrow 4.5 t_{2} + 7.5 t_{2} = \frac{x}{2}$

$t_{2} = \frac{x}{24} . . . . . (i i)$

Total time $t = t_{1} + 2 t_{2} = \frac{x}{6} + \frac{x}{12} = \frac{x}{4}$

So, average speed = 4 m/sec.

Suggest Corrections

Similar questions

Q. 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

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

Q. A particle moving in a straight line covers half the distance with a speed of 3

m s^{- 1}

. The other half of the distance is covered in two equal time intervals with speeds of 4.5

m s^{- 1}

and 7.5

m s^{- 1}

, respectively. Find the average speed of the particle during this motion.

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

Join BYJU'S Learning Program

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

The correct option is A 4.0 m/sIf t1 and 2t2 are the time taken by particle to cover first and second half distance respectively. t1 = x23 = x6 ....(i) x1 = 4.5t2 and x2 = 7.5t2 So, x1+x2 = x2⇒ 4.5t2+7.5t2 = x2 t2 = x24 .....(ii) Total time t = t1+2t2 = x6+x12 = x4 So, average speed = 4 m/sec.