Kinematics PYQs Set 9 (PDF)

Set 9 of 12 · Questions 241-270 of 359

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Mere Teacher · Previous Year Questions NEET Physics · Kinematics · Set 9 (Q241-270)
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241. $The velocity-displacement graph describing the motion of a bicycle is shown in the figure. The acceleration-displacement graph of the bicycle's motion is best described by:$ (1) (2) (3) (4) 242. $A particle starts from a (m s^{- 2}) rest. Its acceleration a versus time t is shown in the figure. The maximum speed of the particle will be$ (1) $80 m s^{- 1}$ (2) $40 m s^{- 1}$ (3) $18 m s^{- 1}$ (4) $2 m s^{- 1}$ 243. $A scooter accelerates from rest for time t_{1} at constant rate a_{1} and then retards at constant rate a_{2} for time t_{2} and comes to rest. The correct value of \frac{t _{1}}{t _{2}} will be:$ (1) $\frac{a _{1} + a _{2}}{a _{2}}$ (2) $\frac{a _{2}}{a _{1}}$ (3) $\frac{a _{1} + a _{2}}{a _{1}}$ (4) $\frac{a _{1}}{a _{2}}$ 244. $Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200 m with the same velocity of 25 m / s . When and where will the two bullets collides. (g = 10 m / s^{2}) [NEET 2019]$ (1) $After 2 s at a height 180 m$ (2) $After 2 s at a height of 20 m$ (3) $After 4 s at a height of 120 m$ (4) $They will not collide$ 245. $Two cars are travelling towards each other at speed of 20 m s^{- 1} each. When the cars are 300 m apart, both the drivers apply brakes and the cars retard at the rate of 2 m s^{- 2} . The distance between them when they come to rest is:$ (1) $200 m$ (2) $100 m$ (3) $50 m$ (4) $25 m$ 246. $Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is thrown vertically down with an initial velocity 'u' at t = 2 s. After a certain time, both balls meet 100 m above the ground. Find the value of 'u' in m s^{- 1} . [use g = 10 m s^{- 2}] :$ (1) $10$ (2) $15$ (3) $20$ (4) $30$ 247. $A particle moves along a straight line O X . At a time t (in seconds) the distance x (in metres) of the particle fr om O is given by x = 40 + 12 t - t^{3} . How long would the particle travel before coming to rest?$ (1) $16 m$ (2) $24 m$ (3) $40 m$ (4) $56 m$ 248. $A particle starts from rest. Its acceleration (a) versus time (t) is as shown in the figure. The maximum speed of the particle will be$ (1) $150 m / s$ (2) $75 m / s$ (3) $37.5 m / s$ (4) $45 m / s$ 249. $A projectile is launched from point A of the given landscape with a water body as shown in the diagram. The launching angle is 15^{\circ} . From the following, identify the right initial velocity of the projectile with which it will fall somewhere in between the points C and D . [Assume, g = 10 m / s^{2}]$ (1) $21.5 m / s$ (2) $22.5 m / s$ (3) $19.5 m / s$ (4) $24.0 m / s$ 250. $Two objects are projected with same velocity 'u' however at different angles α and β with the horizontal. If α + β = 90°, the ratio of horizontal range of the first object to the 2^{n d} object will be :$ (1) $4: 1$ (2) $2: 1$ (3) $1 : 2$ (4) $1 : 1$ 251. $A ball is spun with angular acceleration α = 6 t^{2} - 2 t where t is in second and a is in r a d s^{- 1} . At t =0, the ball has angular velocity of 10 r a d s^{- 1} and angular position of 4 rad. The most appropriate expression for the angular position of the ball is:$ (1) $\frac{3}{2} t^{4} - t^{2} + 10 t$ (2) $\frac{t ^{4}}{2} - \frac{t ^{3}}{3} + 10 t + 4$ (3) $\frac{2 t ^{4}}{3} - \frac{t ^{3}}{6} + 10 t + 12$ (4) $2 t^{4} - \frac{t ^{3}}{2} + 5 t + 4$ 252. $The displacement-time graphs of two moving particles make angles of 30^{\circ} and 45^{\circ} with the time axis. The ratio of their velocities is$ (1) $3 : 2$ (2) $1 : 1$ (3) $1 : 2$ (4) $1 : 3$ 253. $The vector sum of two forces is perpendicular to their vector differences. In that case, the forces$ (1) $are equal to each other$ (2) $are equal to each other in magnitude$ (3) $are not equal to each other in magnitude$ (4) $cannot be predicted.$ 254. $A particle is thrown vertically upward. Its velocity at half of the height is 10 m / s, then the maximum height attained by it (g = 10 m / s^{2})$ (1) $8 m$ (2) $20 m$ (3) $10 m$ (4) $16 m$ 255. $Assertion (A) : The velocity of a projectile at a point on its trajectory is equal to the slope at that point. Reason (R) : The velocity vector at a point always along the tangent to the trajectory at that point.$ (1) $Both A and R are true and R is the correct explanation of A$ (2) $Both A and R are true but R is not the correct explanation of A$ (3) $A is true but R is false$ (4) $A is false but R is true$ 256. $A shot is fired from a point at a distance of 200 m, from the foot of a tower 100 m high, so that it just passes over it. The direction of shot with respect to the horizontal is$ (1) $30^{\circ}$ (2) $60^{\circ}$ (3) $70^{\circ}$ (4) $45^{\circ}$ 257. $A bus is moving with a s peed of 10 m s^{- 1} o na straight road. A scooterist wishes to overtake the bus in 100 s . If the bus is at adistance of 1 km from the scooterist, with what speed should the scooterist chase the bus?$ (1) $40 m s^{- 1}$ (2) $25 m s^{- 1}$ (3) $10 m s^{- 1}$ (4) $20 m s^{- 1}$ 258. $If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is$ (1) $4 5^{o}$ (2) $18 0^{o}$ (3) $0^{o}$ (4) $9 0^{o}$ 259. $A ball is thrown up with a certain velocity so that it reaches a height 'h'. Find the ratio of the two different times of the ball reaching \frac{h}{3} in both the directions.$ (1) $\frac{2 - 1}{2 + 1}$ (2) $\frac{1}{3}$ (3) $\frac{3 - 2}{3 + 2}$ (4) $\frac{3 - 1}{3 + 1}$ 260. $Motion of a particle is given by equation s = (3 t^{3} + 7 t^{2} + 14 t + 8) m . The value of acceleration of the particle at t = 1 sec is$ (1) $10 m / s^{2}$ (2) $32 m / s^{2}$ (3) $23 m / s^{2}$ (4) $16 m / s^{2}$ 261. $A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g = 9.8 m / s^{2})$ (1) $more than 19.6 m / s$ (2) $at least 9.8 m / s$ (3) $any speed less than 19.6 m / s$ (4) $only with speed 19.6 m / s$ 262. $A body is moving along a straight line with initial velocity v_{0} . Its acceleration a is constant. After t seconds, its velocity becomes v . The average velocity of the body over the given time interval is$ (1) $v = \frac{v ^{2} - v _{0}^{2}}{at}$ (2) $v = \frac{v ^{2} + v _{0}^{2}}{2 at}$ (3) $v = \frac{v ^{2} + v _{0}^{2}}{at}$ (4) $v = \frac{v ^{2} - v _{0}^{2}}{2 at}$ 263. $For a projectile motion, the angle between the velocity and acceleration is minimum and acute at$ (1) $only one point$ (2) $two points$ (3) $three points$ (4) $four points.$ 264. $Ball-1 is dropped from the top of a building from rest. At the same moment, ball-2 is thrown upward towards ball1 with a speed 14 m / s from a point 21 m below the top of building. How far will the ball-1 have dropped when it passes ball-2. (Assume acceleration due to gravity, g = 10 m / s^{2} .)$ (1) $\frac{45}{4} m$ (2) $\frac{52}{6} m$ (3) $\frac{37}{2} m$ (4) $\frac{25}{2} m$ 265. $The position vector of a moving body at any instant of time is given as r = (5 t^{2} i - 5 t j) m . The magnitude and direction of velocity at t = 2 s is,$ (1) $515 m / s, making an angle of tan-14 with - ve Y axis$ (2) $515 m / s, making an angle of tan-14 with + ve X axis$ (3) $517 m / s, making an angle of tan-14 with + ve X axis$ (4) $517 m / s, making an angle of tan-14 with - ve Y axis$ 266. $The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement to distance travelled by the body in time 0 to 10s is$ (1) $1:1$ (2) $1:4$ (3) $1:2$ (4) $1:3$ 267. $The position of a particle related to time is given by x = (5 t^{2} -4t+5) m. The magnitude of velocity of the particle at t = 2 s will be :$ (1) $06 m s^{- 1}$ (2) $14 m s^{- 1}$ (3) $10 m s^{- 1}$ (4) $16 m s^{- 1}$ 268. $A stone is dropped from the top of a building. When it crosses a point 5 m below the top, another stone startsto fall from a point 25 m below the top, Both stones reach the bottom of building simultaneously. The heightof the building is:$ (1) $45 m$ (2) $35 m$ (3) $25 m$ (4) $50 m$ 269. $A ball is dropped from a high-rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v . The two balls meet at t = 18 s . What is the value of v ? (Take g = 10 m / s^{2})$ (1) $75 m / s$ (2) $55 m / s$ (3) $40 m / s$ (4) $60 m / s$ 270. $A missile is fired for maximum range with an initial velocity of 20 m / s . If g = 10 m / s^{2}, the range of the missile is$ (1) $40 m$ (2) $50 m$ (3) $60 m$ (4) $20 m$