Motion and Time

A particle undergoing simle harmonic motion has time dependent displacement given by x(t)=Asin (pi t)/(90) .The ratio of kinetic to potential energy of this partle at t= 210s will be :

A particle of mass 2 kg starts motion at time t = 0 under the action of variable force F = 4t (where F is in N and t is in s). The work done by this force in first two second is

The v-s graph describing the motion of a motorcycle is shown in figure. Construct the a-s graph of the motion and determine the time needed for the motorcycle to reach the position s=120 m. Given In 5 = 1.6.

Two body A and B are 10km apart such that B is in south of A. A and B start moving with same speed 20km/hr eastward respectively then find. (a) Relative velocity of A w.r.t. B. (b) Minimum separation atained during motion (c) Time lapse, from starting to attain minimum separation.

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?

A particle executes a simple harmonic motion of time period T. Find the time taken by the particle to go directly from its mean position to half the amplitude.

Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement of change value from half the amplitude to the amplitude.

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

Assertion In projectile motion, if time of flight is made two times, then maximum height will become four times. Reason T prop sin theta and H prop sin^(2) theta , where theta is angle of projection.

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.