SATHEE: Kinematics Question 161

Kinematics Question 161

Question: A police party is chasing a dacoit in a jeep which is moving at a constant speed v. The dacoit’s on a motorcycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate. Which of the following relations is true if the police it’s able to catch the dacoit?

Options:

A) $v^{2} \leq α x$

B) $v^{2} \leq 2 α x$

C) $v^{2} \geq 2 α x$

D) $v^{2} \geq α x$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] If police it’s able to catch the dacoit after time t, then $V t = x + \frac{1}{2} a t^{2}$ . this gives $\frac{a}{2} t^{2} - v t + x = 0$ Or $t = \frac{v \pm \sqrt{v^{2} - 2 α x}}{α}$ For t to be real, $v^{2} \geq 2 a x$

Kinematics Question 161

Question: A police party is chasing a dacoit in a jeep which is moving at a constant speed v. The dacoit’s on a motorcycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate. Which of the following relations is true if the police it’s able to catch the dacoit?

Options:

Answer:

Solution:

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Kinematics Question 161

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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