The motion of a particle of mass m is given by `x=0` for `tlt0s`,`x(t)=Asin4pit` for `0lttlt((1)/(4))s `
`(Agt0)` and `x=0` for `tgt((1)/(4))s`.

Figure shows the position-time graph of a particle of mass 4kg. Let the force on the particle for tlt0 , 0ltt lt, 4s , tgt4s be F_(1) , F_(2) and F_(3) respectively. Then

Fig. shows the position-time graph of a particle of mass 4 kg. What is the (i) force acting on the particle for t lt 0, t lt 4 s, 0 lt t lt 4 s ? (ii) impulse at t = 0 and t = 4 s? Assume that the motion is one dimensional.

The figure shows the position time graph of a particle of mass 40 kg. What is the force acting on the particle of 0lttlt4 s

The equation of a wave on a string of linear mass density 0.04 kgm^(-1) is given by y = 0.02(m) sin[2pi((t)/(0.04(s)) -(x)/(0.50(m)))] . Then tension in the string is

If velocity of a particle is given by v=(2t+3)m//s . Then average velocity in interval 0letle1 s is :

The acceleration of a particle moving in straight line is defined by the relation a= -4x(-1+(1)/(4)x^(2)) , where a is acceleration in m//s^(2) and x is position in meter. If velocity v = 17 m//s when x = 0 , then the velocity of the particle when x = 4 meter is :

The body moves along the x- axis . At time t=0 the velocity of particle is +0.5m//s . The acceleration of particle in different time interval is given as : a={{:(-1 m//s^(2)," ",0slt=tlt=3s),(-2 m//s^(2)," ",3s lt tlt6s),(+4m//s^(2)," ",6s lt=tlt=10s):}

Velocity time equation of a particle moving in a straight line is v=2t-4 for tle2s and v=4-2t for tgt2 .The distance travelled by the particle in the time interval from t=0 to t=4s is (Here t is in second and v in m/s)

The position of a particle moving on X-axis is given by x=At^3+Bt^2+Ct+D . The numerical values of A,B,C,D are 1,4,-2 and 5 respectively and I units are used. Find a. the dimensions of A,B, C and D b. the velocity of the particle at t=4s, the acceleration of he particle at t=4s, d. The average velocity during the interval t=0 to t=4s, the average accelerationduring the interval t=0 to t=4s.

Acceleration of a particle is given by a =1//V Where V is the velocity . Find (i) Velocity of particle at time t, given that v = 10 m/s at t = 0. (ii) Velocity of particle when its position is x, given that speed is 3 m/s at x = 0.