Question 1 :
Three different objects ${m}_{1}, {m}_{2}$ and ${m}_{3}$ are allowed to fall from rest and from the same point $O$ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

Question 2 :
A truck travelling due north at {tex} 20 \mathrm { m } / \mathrm { s } {/tex} turns west and travels at the same speed. What is the change in velocity?

Question 3 :
Consider the given velocity-time graph <br> <img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5e97ffa2cf5ae23387f291e1"> <br> It represents the motion of

Question 4 :
A particle is moving such that its position coordinate (x, y) are<br> (2m, 3m) at time t = O <br> (6m, 7m) at time t = 2s and<br> (13m, 14m) at time t=5s<br> Average velocity vector ({tex} \vec {V_{av}}{/tex})from t = 0 to t = 5s is:

Question 5 :
The equation of trajectory of projectile is given by {tex} \mathrm { y } = \frac { \mathrm { x } } { \sqrt { 3 } } - \frac { \mathrm { gx } ^ { 2 } } { 20 } , {/tex} where {tex} \mathrm { x } {/tex} and y are in metre. The maximum range of the projectile is

Question 6 :
A ball is thrown from rear end of the compartment of train to the front end which is moving at a constant horizontal velocity. An observer {tex} \mathrm A{/tex} sitting in the compartment and another observer {tex} \mathrm B{/tex} standing on the ground draw the trajectory. They will have

Question 7 :
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

Question 8 :
An aircraft moving with a speed of 250{tex} \mathrm { m } / \mathrm { s } {/tex} is at a height of {tex} 6000 \mathrm { m } , {/tex} just overhead of an anti aircraft-gun. If the muzzle velocity is {tex} 500 \mathrm { m } / \mathrm { s } , {/tex} the firing angle {tex} \theta {/tex} should be:<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5e75a4e5db655bbf109bd6"><br>

Question 9 :
A plane flying horizontally at a height of {tex} 1500 \mathrm { m } {/tex} with a velocity of {tex} 200 \mathrm { ms } ^ { - 1 } {/tex} passes directly overhead on antiaircraft gun. Then the angle with the horizontal at which the gun should be fired from the shell with a muzzle velocity of {tex} 400 \mathrm { ms } ^ { - 1 } {/tex} to hit the plane, is

Question 10 :
A ship {tex} A {/tex} is moving westwards with a speed of {tex} 10 \mathrm { km } / \mathrm { h } {/tex} and a ship {tex} B , 100 \mathrm { km } {/tex} South of {tex} A , {/tex} is moving Northwards with a speed of {tex} 10 \mathrm { km } / \mathrm { h } {/tex}. The time after which the distance between them becomes shortest, is