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Motion in a Straight Line
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Motion in a Straight Line
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25 Questions

1. A body is moving with velocity 30 m/s towardseastAfter 10 seconds its velocity becomes 40 m/stowards northThe average acceleration of the body is[2011
2. If a ball is thrown vertically upwards with avelocity of 40 m/s - then velocity of the ball after twoseconds will be (g = 10 m/s2) [1996]
3. A car is moving along a straight road with auniform accelerationIt passes through two points P and Q separated by a distance with velocity 30 km/h and 40km/h respectivelyThe velocity of the car midwaybetween P and Q is [1988]
4. The motion of a particle along a straight line isdescribed by equation:x = 8 + 12t -“ t3where x is in metre and t in secondThe retardation ofthe particle when its velocity becomes zero - is: [2012]
5. The water drops fall at regular intervals from a tap5 m above the groundThe third drop is leaving the tapat an instant when the first drop touches the ground.How far above the ground is the second drop at thatinstant? (Take g = 10 m/s2) [1995]
6. A car moving with a speed of 40 km/h can bestopped by applying brakes at least after 2 mIf the samecar is moving with a speed of 80 km/h - what is theminimum stopping distance? [1998]
7. What will be the ratio of the distances moved by afreely falling body from rest in 4th and 5th seconds ofjourney? [1989]
8. A car moves a distance of 200 mIt covers the firsthalf of the distance at speed 40 km/h and the secondhalf of distance at speed vThe average speed is 48km/hFind the value of [1991]
9. A particle moves a distance x in time t according toequation x = (t + 5)-“1The acceleration of particle isproportional to: [2010]
10. A body starts from rest - what is the ratio of thedistance travelled by the body during the 4th and 3rdseconds? [1993]
11. A particle starts its motion from rest under theaction of a constant forceIf the distance covered in first10 seconds is S1 and that covered in the first 20 secondsis S2 - then: [2009]
12. The displacement of a particle varies with time (t)as: s = at2 -“ bt3The acceleration of the particle at anygiven time (t) will be equal to [1997]
13. A body is thrown vertically upward from thegroundIt reaches a maximum height of 20 m in 5 sec.After what time - it will reach the ground from itsmaximum height position? [1995]
14. A man throws balls with the same speed verticallyupwards one after the other at an interval of 2 seconds.What should be the speed of the throw so that morethan two balls are in the sky at any time? [Given g = 9.8m/s2]
15. The displacement x of a particle varies with time tas x = ae-αt + beβt - where a - b - α and β are positiveconstantsThe velocity of the particle will [2005]
16. The position x of a particle with respect to time talong x-axis is given by x = 9t2 -“ t3 where x is in metresand t in secondWhat will be the position of this particlewhen it achieves maximum speed along the +ve xdirection? [2007]
17. A man of 50 kg mass is standing in a gravity freespace at a height of 10 m above the floorHe throws astone of 0.5 kg mass downwards with a speed 2 m/s.When the stone reaches the floor - the distance of theman above the floor will be:
18. A bus is moving with a speed of 10 ms -“1 on astraight roadA scooterist wishes to overtake the bus in100 sIf the bus is at a distance of 1 km from thescooterist - with what speed should the scooterist chasethe bus? [2009]
19. If a car at rest accelerates uniformly to a speed of144 km/h in 20 s - it covers a distance of [1997
20. A particle moves along a straight line such that itsdisplacement at any time t is given by s = (t 3 -“ 6t2 + 3t +4) metres The velocity when the acceleration is zero is
21. A body dropped from top of a tower fall through 40m during the last two seconds of its fallThe height oftower is (g = 10 m/s2) [1991]
22. A car covers the first half of the distance betweentwo places at 40 km/h and other half at 60 km/hTheaverage speed of the car is [1990]
23. Two bodies - A(of mass 1 kg) and B(of mass 3 kg) - are dropped from heights of 16m and 25m - respectively.The ratio of the time taken by them to reach the groundis [2006]
24. The distance travelled by a particle starting fromrest and moving with an acceleration 4/3ms-2 - in thethird second is:
25. A particle moves along a straight line OXAt a timet (in seconds) the distance x (in metres) of the particlefrom Ois given by x = 40 + 12t -“ t3 How long would theparticle travel before coming to rest? [2006]

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