Motion and Time Revision Notes

If T is the total time of flight, h is the maximum height and R is the range for horizontal motion, the x and y coordinates of projectile motion and time t are related as

A particle performing simple harmonic motion having time period 3 s is in phase with another particle which also undergoes simple harmonic motion at t=0 . The time period of second particle is T (less that 3s). If they are again in the same phase for the third time after 45 s, then the value of T will be

Draw velocity – time graph of uniformly accelerated motion in one dimension. From the velocity – time graph of uniform accelerated motion, deduce the equations of motion in distance and time.

A particle has a rectilinear motion and the figure gives its displacement as a function of time. Which of the following statements is incorrect with respect to the motion?

Three simple harmonic motions of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is 60^@ ahead of the first and the phase of the third motion is 60^@ ahead of the second. Find the amplitude of the resultant motion.

Three simple harmonic motion of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is 60^(@) ahead of the first and the phase of the third motion is 60^(@) ahead of the second. Find the amplitude of the resultant motion.

The distance moved by a particle in simple harmonic motion in one time period is

The displacement of a particle in simple harmonic motion in one time period is

If particle is excuting simple harmonic motion with time period T, then the time period of its total mechanical energy is :-

A particle executing simple harmonic motion with time period T. the time period with which its kinetic energy oscillates is