Kinematics PYQs Set 12 (PDF)

Set 12 of 12 · Questions 331-359 of 359

In the print window choose “Save as PDF”. The file prints without a web address or date line.

Mere Teacher · Previous Year Questions NEET Physics · Kinematics · Set 12 (Q331-359)
Scan or visit mereteacher.com for free PYQ practice, timed CBT tests, step-by-step solutions and BroBot AI. Answers and solutions are free with a sign-up.
331. $Two cars P and Q start from a point at the same time in a straight line and their positions are represented by x_{P} (t) = a t + b t^{2} and x_{Q} (t) = f t - t^{2} . At what time do the cars have the same velocity?$ (1) $\frac{a - f}{1 + b}$ (2) $\frac{a + f}{2 _{(} b - 1 _{)}}$ (3) $\frac{a + f}{2 ( 1 + b )}$ (4) $\frac{f - a}{2 ( 1 + b )}$ 332. $A particle moves along a straight line such that its displacement at any time t is given by s = (t^{3} - 6 t^{2} + 3 t + 4) metres. The velocity when the acceleration is zero is$ (1) $3 m/s$ (2) $42 m/s$ (3) $- 9 m/s$ (4) $- 15 m/s$ 333. $A car moves from X to Y with a uniform speed v_{u} and returns to Y with a uniform speed v_{d} . The average speed for this round trip is$ (1) $v_{u} v_{d}$ (2) $\frac{v _{u} v _{d}}{v _{d} + v _{u}}$ (3) $\frac{v _{u} + v _{d}}{2}$ (4) $\frac{2 v _{u} v _{d}}{v _{d} + v _{u}}$ 334. $A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x-direction with a constant speed. The position of the first body is given by x_{1} (t) after time ‘t’ and that of second body by x_{2} (t) after the same time interval. Which of the following graphs correctly describes (x_{1} - x_{2}) as a function of time ‘t’ ?$ (1) (2) (3) (4) 335. $The distance travelled by a particle is related to time t as x = 4 t^{2} . The velocity of the particle at t =5s is.$ (1) $40 m s^{- 1}$ (2) $25 m s^{- 1}$ (3) $20 m s^{- 1}$ (4) $8 m s^{- 1}$ 336. $A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform dielectric field E. Due to the force qE. Its velocity increases from 0 to 6 m / s in one second duration. At that instant, the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 second are respectively. [NEET 2018]$ (1) $1 m / s, 3.5 m / s$ (2) $1 m / s, 3 m / s$ (3) $2 m / s, 4 m / s$ (4) $1.5 m / s, 3 m / s$ 337. $A man (mass = 50 Kg) and his son (mass = 20 Kg) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of 0.70 ms^{- 1} with respect to the man. The speed of the man with respect to the surface is:$ (1) $0.28 ms^{- 1}$ (2) $0.20 ms^{- 1}$ (3) $0.47 ms^{- 1}$ (4) $0.14 ms^{- 1}$ 338. $An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?$ (1) $Momentum$ (2) $Potential energy$ (3) $Acceleration$ (4) $Force$ 339. $A particle shows distance - time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point$ (1) $D$ (2) $A$ (3) $B$ (4) $C$ 340. $A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S . The displacement of a cyclist is:$ (1) $8 km$ (2) $8 km$ (3) $6 km$ (4) $4 km$ 341. $A projectile is fired from the surface of the earth with a velocity of 5 m s^{-1} and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 m s^{-1} at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is : (given = 9.8 m s^{-2})$ (1) $3.5$ (2) $5.9$ (3) $16.3$ (4) $110.8$ 342. $A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation F = F_{0} [1 - (\frac{t - T}{T})^{2}] Where F_{0} and T are constants. The force acts only for the time interval 2T. The velocity of the particle after time 2T is :$ (1) $2 F_{0} T/M$ (2) $F_{0} T/2M$ (3) $4 F_{0} T/3M$ (4) $F_{0} T/3M$ 343. $One end of string of length l is connected to a particle of mass ‘m’ and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in circle with speed ‘v’ the net force on the particle (directed towards center) will be (T represents the tension in the string)$ (1) $T$ (2) $T + \frac{m ν ^{2}}{ℓ}$ (3) $T - \frac{m ν ^{2}}{ℓ}$ (4) $zero$ 344. $Two boys are standing at the ends A and B of a ground where A B = a . The boy a B starts running in a direction perpendicular to A B with velocity v_{1} . The boy at A starts running simultaneously with velocity v and catches the other in a time t, where t is$ (1) $\frac{a}{v ^{2} + v _{1^{2}}}$ (2) $\frac{a}{v + v _{1}}$ (3) $\frac{a}{v - v _{1}}$ (4) $\frac{a}{v ^{2} - v _{1}^{2}}$ 345. $A ball is released from a height h. If t_{1} and t_{2} be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t_{1} and t_{2} .$ (1) $t_{1} = (2) t_{2}$ (2) $t_{1} = (2 - 1) t_{2}$ (3) $t_{2} = (2 + 1) t_{1}$ (4) $t_{2} = (2 - 1) t_{1}$ 346. $Two bodies A (of mass 1 k g) and B (of mass 3 k g) are dropped from heights of 16 m and 25 m, respectively the ratio of the time taken by them to reach the ground is$ (1) $4/5$ (2) $5/4$ (3) $12/5$ (4) $5/12$ 347. $A vehicle travels 4 km with speed of 3 km/h and another 4 km with speed of 5 km/h, then its average speed is :$ (1) $4.25 km/h$ (2) $3.50 km/h$ (3) $4.00 km/h$ (4) $3.75 km/h$ 348. $The initial speed of a projectile fired from ground is u. At the highest point during its motion, the speed of projectile is \frac{3}{2} u . The time of flight of the projectile is:$ (1) $\frac{u}{2 g}$ (2) $\frac{u}{g}$ (3) $\frac{2 u}{g}$ (4) $\frac{3 u}{g}$ 349. $A passenger train of length 60 m travels at a speed of 80 km / hr . Another freight train of length 120 m travels at a speed of 30 km / h . The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in same direction, and (ii) in the opposite directions is:$ (1) $\frac{11}{5}$ (2) $\frac{5}{2}$ (3) $\frac{3}{2}$ (4) $\frac{25}{11}$ 350. $The relation between time t and distance x of a particle is t = a x^{2} + bx, where a and b are constants. If v is the velocity of the particle, then its acceleration is$ (1) $- 2 ab v^{2}$ (2) $2 b v^{3}$ (3) $- 2 a v^{3}$ (4) $2 a v^{2}$ 351. $A particle is moving with speed v = b x along positive x -axis. Calculate the speed of the particle at time t = τ (assume that the particle is at origin at t = 0).$ (1) $\frac{b ^{2} τ}{4}$ (2) $\frac{b ^{2} τ}{2}$ (3) $b^{2} τ$ (4) $\frac{b ^{2} τ}{2}$ 352. $A train is moving slowly on a straight track with a constant speed of 2 m s^{- 1} . A passenger in that train starts walking at a steady speed of 2 m s^{- 1} to the back of the train in the opposite direction of the motion of the train. So to an observer standing on the platform directly in front of that passenger, the velocity of the passenger appears to be$ (1) $4 m s^{- 1}$ (2) $2 m s^{- 1}$ (3) $2 m s^{- 1} in the opposite direction of the train$ (4) $zero$ 353. $A helicopter is flying horizontally with a speed 'v at an altitude 'h' has to drop a food packet for man on the ground. What is the distance o helicopter from the man when the food packet is dropped?$ (1) $\frac{2 g h v ^{2} + 1}{h ^{2}}$ (2) $2 g h v^{2} + h^{2}$ (3) $\frac{2 v ^{2} h}{g} + h^{2}$ (4) $\frac{2 g h}{v ^{2}} + h^{2}$ 354. $A stone is projected at angle 30° to the horizontal The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be :$ (1) $1:2$ (2) $1:4$ (3) $4 : 1$ (4) $4 : 3$ 355. $The velocity of a projectile at the initial point A is (2 i + 3 j) m/s. It’s velocity (in m/s) at point B is :$ (1) $- 2 i + 3 j$ (2) $2 i - 3 j$ (3) $2 i + 3 j$ (4) $- 2 i - 3 j$ 356. $A child stands on the edge of the cliff 10 m above the ground and throws a stone horizontally with an initial speed of 5 m s^{- 1} . Neglecting the air resistance, the speed with which the stone hits the ground will be_____m s^{- 1} (given, g = 10 m s^{- 2}).$ (1) $20$ (2) $15$ (3) $30$ (4) $25$ 357. $A body of mass 10 kg is projected at an angle of 45° with the horizontal. The trajectory of the body is observed to pass through a point (20, 10). If T is the time of flight, then its momentum vector, at time t = \frac{T}{2}, is_________[Take g= 10m/ s^{2}]$ (1) $100 i^+ (1002 - 200) j^$ (2) $1002 i^+ (100 - 2002) j^$ (3) $100 i^+ (100 - 2002) j^$ (4) $1002 i^+ (1002 - 200) j^$ 358. $A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?$ (1) $5 m / s$ (2) $3 m / s$ (3) $14 m / s$ (4) $3.92 m / s$ 359. $A girl standing on road holds her umbrella at 4 5^{\circ} with the vertical to keep the rain away. If she starts running without umbrella with a speed of 152 km h^{- 1}, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is :$ (1) $30 km h^{- 1}$ (2) $\frac{25}{2} km h^{- 1}$ (3) $\frac{30}{2} km h^{- 1}$ (4) $25 km h^{- 1}$