From a train moving with constant velocity aV a carriage on a road parallel to the track at distanced d from it is observed to mov so as to appear always in line with a more distant fixed object whose distance from the track D .What is velocity of the carriage

A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin.

A body of mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Calculate its angular momentum with respect to the origin?

A train blowing its whistle moves with a constant velocity v away from an observer on the ground. The ratio of the natural frequency of the whistle to that measured by the observer is found to be 1.2 . If the train is not rest and the observer moves away from it at the same velocity, this ratio would be given by

A particle is moving on a straight line. Its velocity at time t is (8-2t)m//s . What is the total distance covered from t=0 to t=6s ?

A train is moving at a constant speed V when its driverobserves another train in front of him on the same track and voing in the same direction with constant speed v . If the distance berween the trains is x . Trains is x then what should be the minimum retardation of the train so as to avoed collision?.

A train accelerates from rest at a constant rate alpha for some time and then it retards to rest at the constant rate beta . If the total distance covered by the train is s, then the velocity of the train is

A stationary observer receiver a sound of frequency f_(0) = 2000 Hz .Sourece is moving with constant velocity on a road at some non-zero prependicular distance from observer . The apparent frequncy f varies with times as show in figure . Speed of sound = 300 m//s . Find the maximum apparent frequency.

A positive charge +Q is fixed at a point A. Another positively charged particle of mass m and charge +q is projected from a point B with velocity u as shown in (Fig. 3.103). Point B is at a large distance from A and at distance d from the line A C. The initial velocity is parallel to the line A C. The point C is at a very large distance from A. Find the minimum distance (in meter) of +q from +Q during the motion. Take Q q = 4 pi epsilon_0 m u^2 d and d (sqrt(2) - 1) m . .

A railway carriage of mass M_(c) filled with sand of mass M_(s) moves along the rails. The carriage is given an impulse and it starts with a velocity v_(0) . At the same time it is observed that the sand starts leaking through a hole at the bottom of the carriage at a constant mass rate lambda . Find the distance at which the carriage becomes empty and the velocity attained by the carriage at that time. (Neglect the friction along the rails).

Two identical source moving parallel to each other at seperation 'd' are producing sounds of frequency 'f' and are moving with constant velocity v_(0) . A stationary .observer 'O' is on the line of motion of one of the sources. Then the variation of beat frequency heard by O with time is best represented by: (as they come from large distance and go to a large distance)