Kinematics PYQs Set 4 (PDF)

Set 4 of 14 · Questions 91-120 of 405

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Mere Teacher · Previous Year Questions JEE Main Physics · Kinematics · Set 4 (Q91-120)
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91. $A car accelerates from rest with 2 m / s^{2} on a straight line path and then comes to rest after applying brakes. Total distance travelled by the car is 100 m in 20 seconds. Then, the maximum velocity attained by the car is$ (1) $10 m / s$ (2) $20 m / s$ (3) $15 m / s$ (4) $5 m / s$ 92. $The acceleration of a particle is increasing linearly with time t as b t . The particle starts from origin with an initial velocity v_{0} . The distance travelled by the particle in time t will be$ (1) $v_{0} t + \frac{1}{3} b t^{2}$ (2) $v_{0} t + \frac{1}{2} b t^{2}$ (3) $v_{0} t + \frac{1}{6} b t^{3}$ (4) $v_{0} t + \frac{1}{3} b t^{3}$ 93. $A bullet is fired into a fixed target looses one third of its velocity after travelling 4 cm . It penetrates further D \times 10^{- 3} m before coming to rest. The value of D is :$ (1) $2$ (2) $5$ (3) $3$ (4) $32$ 94. $The displacement ' x' (in metre) of a particle having mass ' m' (in kg) moving in one dimension under the action of a force, is related to time ' t' (in sec) by, t = x + 3 . The displacement of the particle when its velocity is zero, will be$ (1) $6 m$ (2) $4 m$ (3) $2 m$ (4) $0 m$ 95. $A stone falls freely under gravity. It covers distances h_{1}, h_{2} and h_{3} in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h_{1}, h_{2} and h_{3} is:$ (1) $h_{1} = \frac{h _{2}}{3} = \frac{h _{3}}{5}$ (2) $h_{2} = 3 h_{1} and h_{3} = 3 h_{2}$ (3) $h_{1} = h_{2} = h_{3}$ (4) $h_{1} = 2 h_{2} = 3 h_{3}$ 96. $The velocity of a particle is v = v_{0} + gt + Ft^{2} Its position is x = 0 at t = 0; then its displacement after time (t = 1) is:$ (1) $v_{0} + g + F$ (2) $v_{0} + \frac{g}{2} + \frac{F}{3}$ (3) $v_{0} + \frac{g}{2} + F$ (4) $v_{0} + 2 g + 3 F$ 97. $A person walks up a stalled escalator in 80 sec . When standing on the same escalator, now moving, he is carried up in 20 s . The time taken by him to walk up the moving escalator is$ (1) $4 s$ (2) $8 s$ (3) $12 s$ (4) $16 s$ 98. $Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. T_{1} and T_{2} are the total flying times of first and second ball, respectively, then the ratio of T_{1} and T_{2} is$ (1) $2 : 1$ (2) $2 : 1$ (3) $22 : 1$ (4) $4 : 1$ 99. $The range of a projectile is 100 m . Its kinetic energy will be maximum after covering a distance of$ (1) $25 m$ (2) $50 m$ (3) $75 m$ (4) $100 m$ 100. $The equation for the trajectory of a projectile is y = (\frac{x}{3} - \frac{x ^{2}}{60}) m . The velocity of projection of the projectile is (Acceleration due to gravity = 10 ms^{- 2})$ (1) $8 ms^{- 1}$ (2) $40 ms^{- 1}$ (3) $16 ms^{- 1}$ (4) $20 ms^{- 1}$ 101. $A person sitting in the ground floor of a building notices through the window of height 1.5 m, a ball dropped from the roof of the building crosses the window in 0.1 s. What is the velocity of the ball when it is at the topmost point of the window? (g = 10 m / s^{2}) [NEET 2020]$ (1) $15.5 m / s$ (2) $14.5 m / s$ (3) $4.5 m / s$ (4) $20 m / s$ 102. $A stone falls freely such that the distance covered by it in the last second of its motion is equal to the distance covered by it in the first 5 s . It is in air for \dots \dots . s.$ (1) $12$ (2) $13$ (3) $25$ (4) $26$ 103. $A body starts from the rest and acquires a velocity of 10 m / s in 2 s . What is the acceleration of the body and the distance travelled$ (1) $5 m / s^{2} and 10 m$ (2) $5 m / s^{2} and 5m$ (3) $5 m / s^{2} and 6 m$ (4) $6 m / s^{2} and 5m$ 104. $An object moving along x -axis with a uniform acceleration has velocity V = (12 c ms^{- 1}) i at x = 3 cm .After 2 s if it is at x = - 5 cm, then its acceleration is$ (1) $a = (- 16 cms^{- 2}) i$ (2) $a = (11 cms^{- 2}) i$ (3) $a = (- 11 cms^{- 2}) i$ (4) $a = (8 cms^{- 2}) i$ 105. $A player can throw a ball to a maximum horizontal distance of 80 m . If he throws the ball vertically with the same velocity, then the maximum height reached by the ball is$ (1) $160 m$ (2) $60 m$ (3) $20 m$ (4) $40 m$ 106. $A person standing on the floor of an elevator drops a coin. The coin reaches the floor in time t_{1} if the elevator is at rest and in time t_{2} if the elevator is moving uniformly. Then which of the following option is correct? [NEET 2019]$ (1) $t_{1} < t_{2} or t_{1} > t_{2} depending upon whether the lift is going up or down$ (2) $t_{1} < t_{2}$ (3) $t_{1} > t_{2}$ (4) $t_{1} = t_{2}$ 107. $A child of mass 5 kg is going round a merry-go-round that makes 1 rotation in 3.14 s. The radius of the merry-go-round is 2 m. The centrifugal force on the child will be$ (1) $80N$ (2) $40 N$ (3) $100 N$ (4) $50 N$ 108. $A river of width 200 m is flowing from west to east with a speed of 18 km / h . A boat, moving with speed of 36 km / h in still water, is made to travel one-round trip (bank to bank of the river). Minimum time taken by the boat for this journey and also the displacement along the river bank are____and____respectively.$ (1) $20 s and 100 m$ (2) $40 s and 0 m$ (3) $40 s and 200 m$ (4) $40 s and 100 m$ 109. $A train starting from rest first accelerates uniformly up to a speed of 80 km / h for time t, then it moves with a constant speed for time 3 t . The average speed of the train for this duration of journey will be (in km / h) :$ (1) $40$ (2) $80$ (3) $30$ (4) $70$ 110. $When a ball is thrown with a velocity of 50 ms^{- 1} at an angle 30^{\circ} with the horizontal, it remains in the air for\dots\dots\dots\dots S . (Take, = 10 ms^{- 2})$ (1) $5$ (2) $2.5$ (3) $1.25$ (4) $0.625$ 111. $Three projectiles A, B and C are projected at an angle of 30^{\circ}, 45^{\circ}, 60^{\circ} respectively. If R_{d}, R_{B} and R_{C} are ranges of A, B and C respectively then (velocity of projection is same for A, B and C)$ (1) $R_{A} = R_{B} = R_{C}$ (2) $R_{A} = R_{C} > R_{B}$ (3) $R_{A} < R_{B} < R_{C}$ (4) $R_{A} = R_{C} < R_{B}$ 112. $A stone projected from the ground with a velocity 50 ms^{- 1} at an angle of 30^{\circ} with the horizontal crosses a wall after a time of 3 s . Then the horizontal distance beyond the wall that the stone strikes the ground is (acceleration due to gravity = 10 ms^{- 2})$ (1) $90.2 m$ (2) $89.6 m$ (3) $86.6 m$ (4) $70.2 m$ 113. $A body is projected at an angle other than 90^{\circ} with the horizontal with same velocity. If the time of ascent of the body is 1 s, then the maximum height it can reach is (Take; g = 10 ms^{- 2})$ (1) $5 m$ (2) $10 m$ (3) $2.5 m$ (4) $75 m$ 114. $A car moves from A to B with a speed of 30 kmph and from B to A with a speed of 20 kmph . What is the average speed of the car?$ (1) $50 kmph$ (2) $25 kmph$ (3) $10 kmph$ (4) $24 kmph$ 115. $A swimmer wants to cross a river which is flowing at a speed ' v'. If the swimmer can swim in still water at speed ' V', the direction he should swim to cross the river in least time is$ (1) $Along the flow of river$ (2) $Opposite to the flow of river$ (3) $Perpendicular tò the flow of river$ (4) $45^{\circ} to the flow of river$ 116. $A car moving with uniform acceleration covers the distance of 200 m in first 2 seconds and the distance of 220 m in next 4 seconds. The velocity of the car after 7 seconds is$ (1) $10 ms^{- 1}$ (2) $20 ms^{- 1}$ (3) $15 ms^{- 1}$ (4) $30 ms^{- 1}$ 117. $The position co-ordinates of a particle moving in a 3 - D coordinate system is given by x = acos ωt y = asin ωt and z = aωt The speed of the particle is:$ (1) $2 aω$ (2) $aω$ (3) $3 aω$ (4) $2 aω$ 118. $A boy pushes a box of mass 2 kg with a force F = (20 i + 10 j) N on a frictionless surface. If the box Wasinitially at rest, then____m is displacement along the x -axis after 10 s .$ 119. $A particle is moving along the x axis with its coordinate with time t given by x (t) = 10 + 8 t - 3 t^{2} . Another particle is moving along the y -axis with its coordinate as a function of time given by y (t) = 5 - 8 t^{3} . At t = 1 s, the speed of the second particle as measured in the frame of the first particle is given as v . Then v (in m/s) is$ 120. $A bus moving along a straight highway with speed of 72 km / h is brought to halt within 4 s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is _______ m .$