1 Yakeen NEET 3.0 (2024) Motion in a Straight line 1. Position of object is given as function of time x = t2 – 2t + 4 find velocity at t = 2 sec. (1) 2 m/s (2) 4 m/s (3) zero (4) 6 m/s 2. An Object is moving with constant velocity then which of the following option is correct (1) Acceleration may be increasing (2) Acceleration is zero (3) Acceleration is decreasing (4) Acceleration is non-zero 3. Which of the following option is correct for acceleration (1) (2) dv dx (4) all of these (3) v 6. The displacement y (in meters) of a body varies with time (in seconds) according to the equation y 2 = − t 2 + 16t + 2 . How long does the body come 3 to rest? (1) 8 seconds (2) 10 seconds (3) 12 seconds (4) 14 seconds 7. The relation between time t and displacement x is expressed by x = 2 – 5t + 6t2. What will be the initial velocity of the particle? (1) –5 m/sec (2) –3 m/sec (3) 6 m/sec (4) 3 m/sec 8. The position x of a particle varies with time (t) as x = at2 – bt3. The acceleration at time t of the particle will be equal to zero, where t is equal to – 2a a (1) (2) b 3b a (3) (4) Zero 3b 9. A particle moves along a straight line such that its displacement at any time t is given by s = t3 – 6t2 + 3t + 4 metres. The velocity when the acceleration is zero is – (1) 3 m/s (2) –12 m/s (3) 42 m/s (4) –9 m/s 10. A car moves along a straight line whose equation of motion is given by s = 12t + 3t2 – 2t3, where s is in metres and t is in seconds. The velocity of the car at start will be– (1) 7 m/s (2) 9 m/s (3) 12 m/s (4) 16 m/s d 2x dt 2 dv dt 4. In uniform motion: (1) Velocity must be constant (2) Speed may be variable (3) Speed must be constant (4) Acceleration may be non-zero 5. Which of the following option is correct for magnitude of acceleration (1) dV dt d |V | dt (2) (3) dV dt (4) none of these DPP-04 2 Note: Kindly find the Video Solution of DPPs Questions in the DPPs Section. Answer Key 1. (1) 6. (3) 2. (2) 7. (1) 3. (4) 8. (3) 4. (1) 9. (4) 5. (3) 10. (3) PW Web/App - https://smart.link/7wwosivoicgd4 Library- https://smart.link/sdfez8ejd80if