Look at the graphs (a) to (d) (Fig. 3.20) carefully and state, with reaS0ns, which of these cannot possibly represent one-dimensiona! motion of a particle.`

Read each statement below carefully and state with reasons and examples, if it is true or false, particle in one-dimensional motion A./with zero speed at an instant may have non-zero acceleration at that instant

The potential energy function for a particle executing linear simple harmonic motion is given by V(x) =kx^2/2, where k is the force constant of the oscillator. For k = 0.5 N ^-1 , the graph of V(x) versus x is shown in Fig. 6.12. Show that a particle of total energy 1 J moving under this potential must ‘turn back’ when it reaches x = ± 2 m.,br>

A person trying to lose weight (dieter) lifts a 10 kg mass, one , thousand times, to a height of 0.5 m each time. Assume that the potential energy lost each time she lowers the mass is dissipated, (a) How much work does she do against the gravitational force? (b) Fat supplies 3.8 xx 10^7 J of energy per kilogram which is converted to mechanical energy with a 20% efficiency rate. How much fat will the dieter use up?

The position of a particle moving in xy plane at time t is given by x = (3t^2 -6) and y=(t^2-2t). Which one is correct statement for its motion?

State which of the following relations over R represent (single valued) function and state the domain and range in case of function. {(4, 0), (4, 1), (2, 5), (6, 1), (0, 3)}