SATHEE: Kinematics Question 157

Kinematics Question 157

Question: 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

Options:

A) 4.0 m/s

B) 5.0 m/s

C) 5.5 m/s

D) 4.8 m/s

Show Answer

Answer:

Correct Answer: A

Solution:

[a] If $t_{2}$ and $2 t_{2}$ are the time taken by particle to cover first and second half distance, respectively, then $t_{1} = \frac{x / 2}{3} = \frac{x}{6}$

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

$t_{2} = - \frac{x}{24}$ Total time $t_{1} + x_{2} + 2 t_{2} = \frac{x}{6} + \frac{x}{12} = \frac{x}{4}$ So, average speed 4 m/sec.

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Kinematics Question 157

Question: 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

Options:

Answer:

Solution:

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