Kinematics PYQs Set 7 (PDF)

Set 7 of 14 · Questions 181-210 of 405

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Mere Teacher · Previous Year Questions JEE Main Physics · Kinematics · Set 7 (Q181-210)
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181. $particle is moving unidirectionally on a horizontal plane under the action of a constant power upplying energy source. The displacement (s) - time (t) graph that describes the motion of the particle (graphs are drawn schematically and are not to scale)$ (1) (2) (3) (4) 182. $A particle moving along X -axis has acceleration f at time t given by f = f_{0} (1 - \frac{t}{T}), where f_{0} and T are constants The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity is$ (1) $\frac{1}{2} f_{0} T^{2}$ (2) $f_{0} T^{2}$ (3) $\frac{1}{2} f_{0} T$ (4) $f_{0} T$ 183. $The time of flight of a vertically projected stone is 8 s . The position of the stone after 6 s from the ground is (Acceleration due to gravity = 10 ms^{- 2})$ (1) $20 m$ (2) $60 m$ (3) $75 m$ (4) $40 m$ 184. $A body is projected from the ground at an angle of tan^{- 1} (\frac{8}{7}) with the horizontal. The ratio of the maximum height attained by it to its range is$ (1) $8 : 7$ (2) $4 : 7$ (3) $2 : 7$ (4) $1 : 7$ 185. $The velocity of an object moving in a straight line path is given as a function of time by v = 6 t - 3 t^{2}, where v is in ms^{- 1}, t is in s . The average velocity of the object between, t = 0 and t = 2 s is$ (1) $0$ (2) $3 ms^{- 1}$ (3) $2 ms^{- 1}$ (4) $4 ms^{- 1}$ 186. $Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop strikes the floor when the sixth drop begins to fall. The height at which the fourth drop will be from ground, at the instant when the first drop strikes the ground is____m. (g = 10 m / s^{2})$ (1) $4.2$ (2) $2.5$ (3) $4.0$ (4) $3.8$ 187. $The maximum range of a gun on horizontal plane is 16 km . If g = 10 m s^{- 2}, then muzzle velocity of a shell is$ (1) $160 m s^{- 1}$ (2) $2002 m s^{- 1}$ (3) $400 m s^{- 1}$ (4) $800 m s^{- 1}$ 188. $Look at the graphs (a) to (d) carefully and indicate which of these possibly represents one dimensional motion of a particle?$ (1) (2) (3) (4) 189. $A river 200 m wide is flowing at a rate of 3.0 m / s . A boat is sailing at a velocity of 15 m / s with respect to the water in a direction perpendicular to the river. How far from the point directly opposite to the starting point does the boat reach on the opposite bank?$ (1) $25 m$ (2) $60 m$ (3) $40 m$ (4) $50 m$ 190. $A projectile is launched at an angle ' α' with the horizontal with a velocity 20 m s^{- 1} . After 10 s, its inclination with horizontal is ' β'. The value of tan β will be : (g= 10 m s^{- 2})$ (1) $tan α + 5 sec α$ (2) $tan α - 5 sec α$ (3) $2 tan α - 5 sec α$ (4) $2 tan α + 5 sec α$ 191. $A ball of mass 100 g is projected with velocity 20 m / s at 60^{\circ} with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is$ (1) $5 J$ (2) $15 J$ (3) $20 J$ (4) $zero$ 192. $player kicks a football with an initial speed 25 m s^{- 1} of at an angle of 4 5^{0} from the ground. What are the maximum height and the time taken by the football to reach at the highest point during motion ? (Take g = 10 m s^{- 2})$ (1) $hmax = 10 m T = 2.5 s$ (2) $hmax = 15.625 m T = 3.54 s$ (3) $hmax = 15.625 m T = 1.77 s$ (4) $hmax = 3.54 m T = 0.125 s$ 193. $A helicopter flying horizontally with a speed of 360 km / h at an altitude of 2 km, drops an object at an instant. The object hits the ground at a point O, 20 s after it is dropped. Displacement of ' O' from the position of helicopter where the object was released is: (use acceleration due to gravity g = 10 m / s^{2} and neglect air resistance)$ (1) $7.2 km$ (2) $25 km$ (3) $22 km$ (4) $4 km$ 194. $From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is a n times that taken by it to reach the highest point of its path. The relation between H, u and n is:$ (1) $2 g H = n^{2} u^{2}$ (2) $g H = (n - 2)^{2} u^{2}$ (3) $2 g H = n u^{2} (n - 2)$ (4) $g H = (n - 2) u^{2}$ 195. $An archer shoots an arrow from a height 4.2 m above the ground with a speed 40 m / s and at an angle 30^{\circ} as shown in the figure. Determine the horizontal distance R covered by the arrow, when it hits the ground, (Take g = 10 m / s^{2})$ (1) $\frac{185}{3} m$ (2) $843 m$ (3) $683 m$ (4) $\frac{95}{3} m$ 196. $A particle is moving with constant speed in a circular path. When the particle turns by an angle 90°, the ratio of instantaneous velocity to its average velocity is π : x 2 . The value of x will be$ (1) $2$ (2) $5$ (3) $1$ (4) $7$ 197. $A vehicle travels half the distance with speed v and the remaining distance with speed 2 v . Its average speed is [NEET 2023]$ (1) $\frac{2 v}{3}$ (2) $\frac{4 v}{3}$ (3) $\frac{3 v}{4}$ (4) $\frac{v}{3}$ 198. $Given below are two statements: Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time. In the light of given statements, choose the correct answer from the options given below.$ (1) $Both Statement I and Statement II are true$ (2) $Both Statement I and Statement II are false$ (3) $Statement I is correct but Statement II is false$ (4) $Statement I is incorrect but Statement II is true$ 199. $The velocity of train increases uniformly from 20 k m / h to 60 k m / h in 4 hours. The distance travelled by the train during this period is$ (1) $160 km$ (2) $180 km$ (3) $100 km$ (4) $120 km$ 200. $The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure. The point S is at 4.333 seconds. The total distance covered by the body in 6 s is$ (1) $\frac{37}{3} m$ (2) $11 m$ (3) $12 m$ (4) $\frac{49}{4} m$ 201. $The motion of a particle along a straight line is described by equation x = 8 + 12 t - t^{3} where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is$ (1) $24 m s^{- 2}$ (2) $zero$ (3) $6 m s^{- 2}$ (4) $12 m s^{- 2}$ 202. $A bullet is fired at time t = 0 with velocity 20 m / s and at an initial angle of 30^{\circ} with the horizontal. The an angle between the displacement vector and the horizontal after time 0.1 s is (Assume g = 10 m / s^{2})$ (1) $\frac{38}{20 3}$ (2) $\frac{19}{20 3}$ (3) $\frac{19}{20}$ (4) $\frac{19 3}{20}$ 203. $An object moves with speed v_{1}, v_{2}, and v_{3} along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3 AB, then average speed of the object will be :$ (1) $\frac{( v _{1} + v _{2} + v _{3} )}{3}$ (2) $\frac{v _{1} v _{2} v _{3}}{3 ( v _{1} v _{2} + v _{2} v _{3} + v _{3} v _{1} )}$ (3) $\frac{3 v _{1} v _{2} v _{3}}{( v _{1} v _{2} + v _{2} v _{3} + v _{3} v _{1} )}$ (4) $\frac{( v _{1} + v _{2} + v _{3} )}{3 v _{1} v _{2} v _{3}}$ 204. $A particle is moving in a circle of radius 50 cm in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t = 0 is 4 m / s, the time taken to complete the first revolution will be \frac{1}{α} (1 - e^{- 2 π}) s, where α =_______$ 205. $Two spherical balls having equal masses with radius of 5cm each are thrown upwards along the same vertical direction at an interval of 3s with the same initial velocity of 35m/s, then these balls collide at a height of \dots\dots\dots..m. (Take g = 10 m / s^{2})$ 206. $A body starts falling freely from height H hits an inclined plane in its path at height h . As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of \frac{H}{h} for which the body will take the maximum time to reach the ground is_______$ 207. $A ball is thrown vertically upwards with a velocity of 19.6 m s^{- 1} from the top of a tower. The ball strikes the ground after 6 s. The height from the ground up to which the ball can rise will be \frac{k}{5} m. The value of k is ..... (use g = 9.8 m/ s^{2})$ 208. $A particle of mass 10 g moves in a straight line with retardation 2x, where x is the displacement in SI units. Its loss of kinetic energy for above displacement is (\frac{10}{x})^{- n} J . The value of n wil1 be_________•$ 209. $A person standing on a spring balance inside a stationary lift measures 60 kg . The weight of that person if thelift descends with uniform downward acceleration of 1.8 m / s^{2} will be ___N . (g = 10 m / s^{2})$ 210. $A ball is projected vertically upward with an initial velocity of 50 m s^{- 1} at t = 0s. At t = 2s. another ball is projected vertically upward with same velocity. At t =________s, second ball will meet the first ball(g= 10 m s^{- 2}).$