Each second a rabbit moves half the remaining distance from its nose to ahead of lettuce. Does the rabbit ever get to the lettuce ? What is the limiting value of the rabbit's velocity? Draw graphs showing the rabbit's position and average velocity versus time.

The velocity time graph of a particle moving along a straight line is shown in the figure. In the time interval from t=0 to t=8 second, answer the following three question. The value of ("magnitude of maximum velocity")/("magnitude of average velocity") for the given time interval is :

A stone is dropped into a river from a bridge 53.6 m above the water. Another stone is thrown vertically down 1.00 s after the first is dropped. The stones strike the water at the same time. (a) What is the initial speed of the second stone ? (b) Plot velocity versus time on a graph for each stone, taking zero time as the instant the first stone is released .

A particle moves for total time T sec in a straight line in three consecutive parts such that its acceleration during the first, second and third parts is in the ratio 1:2:7. The distances covered in the first and the third parts are a and b meters while the time taken for each of the is tseconds. Find the average velocity of the particle during the second part.

A long straight copper wire, of circular cross ection, contains n conduction electrons per unit volume, each of charge q. Show that the current l in the wire is given by l = nqv pi a^(2) where v is the drift velocity and a is the radius of the wire. At a radial distance r from the axis of the wire, what is the direction of the magnetic field B due to the current l? Assuming that the magnitude of the field is B = mu_(0)l//2pir(r ge a) , obtain an expression for the Lorentz force F on an electron moving with the drift velocity at the surface of the wire. If l = 10 A and a = 0.5mm, calcualte the magnitude of (a) the drift velocity and (b) the forcce, given that for copper, n = 8.5 xx 10^(28) m^(-3)

The fig. shows the displacement time graph of a particle moving on a straight line path. What is the magnitude of average velocity of the particle over 10 seconds?

The figure shows the snapshot at time t = 0 of a transverse pulse travelling on a string in positive x direction. (a) Sketch the pulse at a slightly later time. (b) With the help of the given sketch draw a graph of velocity of each string segment versus position. Take upward direction as positive.

A particle moves in a straight line. Figure-1.21 shows the distance traversed by the particle as a function of time t .Using the graph, find (a)the average velocity of the point during the time of motion, (b) the maximum velocity, (c) the time t = t_(0) at which the instantaneous velocity is equal to the mean velocity averaged over the first t_(0) seconds.

A particle moves along a horizontal path, such that its velocity is given by v = (3t^2 - 6t) m//s, where t is the time in seconds. If it is initially located at the origin O, determine the distance travelled by the particle in time interval from t = 0 to t = 3.5 s and the particle's average velocity and average speed during the same time interval.