Between the two station, a train accelerates from res uniformly at first, then moves with constant velocity and finally retards uniforms to come to rest. If the ratio of the time taken be 1 : 8 : 1 and the maximum speed attained be 60 km/h, then what is the average speed over the whole journey ?
A particle moving in a straight line covers half the distance with speed of 3 m/s. The other half of the distance is covered in two equal time intervals with speeds of 4.5 m/s and 7.5 m/s, respectively. The average speed of the particle during this motion is
Taxies leave the station X for Y every 10 min. Simultaneously, a taxi also leaves the station Y for station X every 10 min. The taxies move at the same constant speed and go from X and Y or vice-versa in 2h. How many taxies coming from the other side will meet each taxi enroute from Y and X?
The relation between time t and distance x is where are constant. The retardation is
The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation , where x is in m and t is in s. Find the displacement of the particle when us velocity is zero
The velocity of light emitted by a source S, observed by an observe O, who is at rest with respect to S, is c. If the observe moves away from S with velocity v, the velocity of light as observed will
A drunkard is waking along a straight road. He takes 5 steps forward and 3 steps backward and so on. each step is 1 m long and takes 1s. There is a pit on the road 11 m away from the starting point. The drunkard will fall into the pit after
A person moves 30 m north and then 30 m towards east and finally 30 m in south-west direction. The displacement of the person from the origin will be
If a particle travels n equal distance with speeds v1, v2,......... vn, then the average speed fo the particle will be
For motion of an object along x-axis, the velocity v depends on the displacement x as v = 3x2 – 2x. What is the acceleration at x = 2m.