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Okay then now I am contributing some material to this forum. hope all our goiitian friends like it.

I am posting some of the problems from the topic of Motion along a Straight Line.

Subject : Physics

Topic : Motion along a Straight line.

Here they are:

[1] The speed of a train increases at a constant rate a (alpha) from zero to 'v' and then remains constant for an interval and finally decreases to zero at a constant rate b (beta). If 'l' is the total distance travelled find the total time taken.

[2] A car 'A' is travelling on a straight level road with a uniform speed of 60 km/hr. It is travelled by another car 'B' which is moving with a speed of 70km/hr. When the distance between them is 2.5 km the car B is accelerated by 20km/hr2 (20 km per hour square). After what distance and time will B catch up with A ???

[3] The two ends of a train moving with a constant acceleration pass a certain point with velocities u and v. What will the velocity of the midpoint of the train when it passes the same point ???

[4] A point traversed half the distance with a velocity vo (v to the subscript zero). The remaining part of the distance was covered with velocity v1 for the half the time and with velocity v2 for the other half of the time. Find the mean velocity of the point averaged over the whole time of the motion.

[5] If a point moving under uniform acceleration describes successive equal distances in the times t1, t2 and t3 then prove 1/t1 - 1/t2 + 1/t3 =
3/t1+t2+t3.

[6] Two points move in the same straight line starting at the same moment from the same point in it. The first moves with a constant velocity u and other moves with a constant acceleration f. During the time that elapses before the second catches the first show that the greatest distance between the particles is u2/2f at the end of time u/f from the start.

[7] A bus is beginning to move with an acceleration of 1 feet/s2. A man who is 40 ft behind the bus on the same line starts running at 9 fee per second to catch the bus. After how many seconds will the man be able to catch the bus ? Explain the two answers.

[8] The displacement x of a particle moving in one dimension under the action of a constant force is related ti the time t by the equation t=root x +3 where x is in metres and t is in the seconds. Find the displacement of the particle when its velocity is zero.

[9] A lift ascends with a constant acceleration a, then with a constant velocity and finally stops under a constant retardation a. If the total distance travelled is S and the total time taken is T, find the duration for which the lift is moving with constant velocity.

[10] Two cars A and B are travelling in the same direction with velocities v1 and v2 respectively. When the distance between them is d, the driverof car behind B applies the brakes causing retardation b(beta). Show that to prevent the collison it is necessary that b(beta) > (v1-v2)2/2d.

[11] If a body falling vertically under gravity travels half its total path in the last second of its fall, find the time and height of its fall.

[12] A particle is dropped from the top of a tall cliff and n seconds later another stone is thrown vertically downwards with a velocity u m/s. How far below the second stone overtake the first ???

[13] A parachutist after bailing out falls 50m without friction . When the parachute opens he decelerates downwards with 2m/s2. He reaches the ground with a speed of 3m/s. How long is the parachutist in air ?? At what height did he bail out ??

Dont forget to rate me and i ne 1 wants their answers and solutions please inform me.

Till then contribute to this forum and have a happy time.

Cheers.

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