Motion in A Str...

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 speed of 4.5 m/s and 7.5 m/s respectively. The average speed of the particle during this motion is

A body is slipping from an inclined plane of height h and length l. If the angle of inclination is θ, the time taken by the body to come from the top to the bottom of this inclined plane is

A particle moves with uniform acceleration along a straight line AB. Its velocities at A and B are 2 m/s and 14 m/s, respectively. M is the mid-point of AB. The particle takes \(t_1\) seconds to go from A to M and \(t_2\) seconds to go from M to B. Then \(\frac{t_2}{t_1}\) is

A police party is chasing a dacoit in a jeep which is moving at a constant speed v. The dacoit is on a motorcycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate. Which of the following relations is true if the police are able to catch the dacoit?

A body starts from rest and travels ‘s’ m in 2nd second, then acceleration is

The displacement x of a particle at the instant when its velocity is v is given by v = \(\sqrt{3x + 16}\). Its acceleration and initial velocity are

A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance \(s_1 \) in the first 10 seconds and distance \(s_2\) in the next 10 seconds, then

If distance covered by a particle is zero, what can you say about its displacement?

The displacement-time graphs of two particles A and B are straight lines making angles of 30° and 60° respectively with the time axis. If the velocity of A is \(v_A\) and that of B is \(v_B\), the value of \(\frac{v_A}{v_B}\) is

A particle moves in straight line with velocity 6 m/s and 3 m/s for time intervals which are in ratio 1:2. Find average velocity.

A body covers 26, 28, 30, 32 meters in 10th, 11th, 12th and 13th seconds respectively. The body

A car moves with a speed of 60 km/hr from point A to point B and then with the speed of 40 km/hr from point B to point C. Further, it moves to a point D with a speed equal to its average speed between A and C. Points A, B, C and D are collinear and equidistant. The average speed of the car between A and D is

A bus starts moving with acceleration 2 \(m/s^2\). A cyclist 96 m behind the bus starts simultaneously towards the bus at 20 m/s. After what time will he be able to overtake the bus?

If a train travelling at 20 m/s is to be brought to rest in a distance of 200 m, then its retardation should be

A bike accelerates from rest at a constant rate 5\(m/s^2\) for some time after which it decelerates at a constant rate 3 \(m/s^2\) to come to rest. If the total time elapsed is 8 second, the maximum velocity acquired by the bike is given by.

Two particles P and Q simultaneously start moving from point A with velocities 15 m/s and 20 m/s respectively. The two particles move with acceleration equal in magnitude but opposite in direction. When P overtakes Q at B then its velocity is 30 m/s. The velocity of Q at point B will be

A man throws balls with same speed vertically upwards one after the other at an interval of 2 sec. What should be the speed of throw so that more man two balls are in air at any time?

A ball dropped from a point A falls down vertically to C, through the midpoint B. The descending time from A to B and that from A to C are in the ratio

A stone falls freely under gravity. It covers distances \(h_1, h_2\) and \(h_3\) in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between \(h_1, h_2\) and \(h_3\) is