28/03/2020Kinematics – Linear and Non-Linear Motion, Projectiles(Senior Class Physics Study by Topics) 0Comments by Gate Academy Welcome to your Kinematics - Linear and Non-Linear Motion, Projectiles(Senior Class Physics Study by Topics) NAME EMAIL PHONE NUMBER 1. The distance traveled by a particle starting from rest is plotted against the square of the time elapsed from the commencement of motion.The resultant graph is linear.The slope/gradient of this graph is a measure of half the initial diaplacement half the acceleration initial velocity twice the acceleration initial displacement2. A moving object has a uniform acceleration. Its displacement increases at a constant rate speed is directly proportional to time velocity varies inversely with time velocity increases by equal amounts in equal time3. Two particles A and B starting from rest cover the same distance. The acceleration of A is twice that of B, the ratio of the time taken by A to that taken by B is 2 1/√2 √2 4 1/24. A body starts from rest and moves with constant acceleration. Which of the following quantities varies/vary linearly with the square of the time.I. velocityII. displacementIII. momentum I & II only I only II & III only II only III only5. Two balls X & Y weighing 5g and 50kg respectively were thrown up vertically at the same time with a velocity of 100m/s. How will their positions be one second later? X and Y are 95m from the point of throw Y will be 95m ahead of X X will be 500m ahead of Y X and Y will both be 500m from the point of throw6. If a car starts from rest and moves with a uniform acceleration of 10m/s² for 10s. The distance it covers in the last one second of its motion is 1000m 500m 905m 95m 100m7. A mango fruit drops from a branch 10m above the ground. Just before hitting the ground, its velocity is 100m/s 5√2m/s 10√2m/s 200m/s 10m/s8. A stone and a feather are dropped from the same height above the earth surface. Ignoring air resistance, which of the following is correct? the stone will reach the ground first the stone and feather will both reach the ground at the same time the feather will reach the ground first the feather will be blown away by the wind while the stone will drop steadily9. A car moving with a speed of 90km/hr was brought uniformly to rest by the application of the brakes in 10s.How far did the car travel after the brakes were applied? 25km 15km 250m 125m 150m10. A body which is uniformly retarded comes to rest in 10s after traveling a distance of 20m.Calculate its initial velocity. 4m/s 0.5m/s 20m/s 200m/s 2m/s11. A car moves with an initial velocity of 25m/s and reaches a velocity of 45m/s in 10s. What is the acceleration of the car? 25m/s² 5m/s² 2m/s² 20m/s²12. A car starts from rest and moves with a uniform acceleration of 30m/s² for 20s. Calculate the distance covered at the end of the motion 18km 6km 12km 24km13. During the same interval, it is observed that a train travels the same distance as does a lorry. The two vehicles therefore have the same instantaneous velocity uniform acceleration average velocity average speed initial velocity14. A body starts from rest and moves in a straight path with uniform acceleration of 8m/s² for 5 seconds. It then decelerates uniformly to rest in the next 10 seconds. Calculate the magnitude of its acceleration. 80m/s² 3m/s² 16m/s² 8m/s² 4m/s²15. A boy moving with a velocity of 4m/s is brought to rest by a constant force after traveling 20m.Calculate the retardation. 5.0m/s² 0.4m/s² 2.5m/s² 0.2m/s² 0.1m/s²16. Which of the following statements is true of a body which is moving in a straight line with uniform acceleration? The velocity of the body will increase with time in the direction of the acceleration must always be zero when the body stops accelerating is equal to the quotient of distance travelled and time is the product of the distance travelled and time is also uniform17. An object moves with uniform speed round a circle. Its acceleration has varying magnitude and constant direction constant magnitude and varying direction constant magnitude and constant direction varying magnitude and varying direction18. When a ball rolls on a smooth level ground, the motion of its center is random translational rotational oscillatory19. An apple fruit is dropped to the ground from the top a tree 45m tall. How long does it take to reach the ground? (Take g = 10m/s²) 9s 4.5s 6s 3s 7.5s20. A train with an initial velocity of 20m/s is subjected to a uniform deceleration of 2m/s². The time required to bring the train to a complete halt is 20s 5s 10s 40s21. A particle is projected vertically upwards with a velocity of 20m/s.What maximum height does it attain? (g = 10m/s²) 200m 2m 20m 0.2m 2000m22. A body falls from rest to the ground in 0.5 secs. Calculate the height from which it falls. (g = 10m/s²) 5.0m 1.0m 0.5m 1.25m 0.125m23. What is the acceleration between two points on a v-t graph which has coordinates(10s, 15m/s) and (20s, 35m/s) 2.00m/s² 3.50m/s² 1.75m/s² 7.00m/s² 1.00m/s²24. A train has an initial velocity of 44m/s and an acceleration of -4m/s². Its velocity after 10 seconds is 4m/s 16m/s 12m/s 8m/s 2m/s25. A stone was dropped from a height, h and attained a velocity of 20m/s just before hitting the ground. If g = 10m/s², calculate the height, h through which it fell.. 100m 10m 20m 200m26 out of 25Time is Up!