A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is
An object accelerates from rest to a velocity 27.5 m/s in 10 sec then find distance covered by object in next 10 sec
If the velocity of a particle is given by v=(180-16x)½ m/s, then its acceleration will be
The displacement of a particle is proportional to the cube of time elapsed. How does the acceleration of the particle depends on time obtained
Starting from rest, acceleration of a particle is a=2(t-1). The velocity of the particle at t=5s is
Speed of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is
A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in next 5 sec. Its initial velocity will be
The displacement x of a particle varies with time t,x=ae^(-αt)+be^βt, where a,b,α"and " βare positive constants. The velocity of the particle will
A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate f/2 to come to rest. If the total distance traversed is 15 S, then
A man is 45 m behind the bus when the bus start accelerating from rest with acceleration 2.5 m/s2. With what minimum velocity should the man start running to catch the bus ?
A particle moves along x-axis as x=4(t-2)+a(t-2)² Which of the following is true ?
A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is
What determines the nature of the path followed by the particle
Two trains, each 50 m long are travelling in opposite direction with velocity 10 m/s and 15 m/s. The time of crossing is
A 120 m long train is moving in a direction with speed 20 m/s. A train B moving with 30 m/s in the opposite direction and 130 m long crosses the first train in a time
A 210 meter long train is moving due North at a of 25m/s. A small bird is flying due South a little above the train with speed 5m/s. The time taken by the bird to cross the train is
A police jeep is chasing with, velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is
A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is :
A train of 150 meter length is going towards north direction at a speed of 10m/sec. A parrot flies at the speed of 5m/sec towards south direction parallel to the railway track. The time taken by the parrot to cross the train is
A boat is moving with velocity of 3i ̂+4j ̂ in river and water is moving with a velocity of -3i ̂-4j ̂ with respect to ground. Relative velocity of boat with respect to water is :
The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as
A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is
For a body moving with relativistic speed, if the velocity is doubled, then
A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south.
A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is