Instantaneous velocity

The position of a particle moving along the x axis is given in centimeters by x = 9.75 + 1.50 t^(3) , where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00s to t= 3.00s , (b) the instantaneous velocity at t = 2.00 s , (c) the instantaneous velocity at t = 3.00s , (d) the instantaneous velocity at t= 2.50s , and (e) the instantaneous velocity when the particle is midway between its positions at t=2.00s and t=3.00s . (f) Graph x versus t and indicate your answers graphically

Which of the following statements is /are correct ? I.Average speed over a finite interval of times is greater or equal to the magnitude of the average velocity. The instantaneous speed at an instant is equal to the magnitude of the instantaneous velocity at that instant.

In a typical young's double slit experiment a point source of monochromatic light is kept as shown in the figure. If the source is given an instantaneous velocity v=1 mm per second towards the screen, then the instantaneous velocity of central maxima is given as alphaxx10^(-beta)cm//s upward in scientific notation find the value of alpha+beta

A particle moving in the positive x-direction has initial velocity v_(0) . The particle undergoes retardation kv^(2) , where vis its instantaneous velocity. The velocity of the particle as a function of time is given by:

How can we measure the instantaneously velocity graphically?

Assertion : The average and instantaneous velocities have same value in a uniform motion. Reason : In uniform motion, the velocity of an object increases uniformly

The instantaneous velocities of two particles of masses 200 g and 400 g at a given time are 12hati-7hatj-5hatk m/s and 8hati-9hatj-5hatk m/s, respectively. Calculate the instantaneous velocity of the centre of mass of the system.

A particel moving along a straigh line has instantaneous velocities during the first 5 seconds as given below. Draw a velocity - time graph