Derive the formula to find position at t' when the initial position at instant t is known as object is moving with uniform velocity.

Determine aparent weight of a person in a lift when lift is moving downward with uniform velocity.

The displacement of a particle is directly proportional to the square of the time.Explain whether the object is moving with uniform velocity or with uniform acceleration.

When the image formed by a concave mirror is at infinity then what is the position of the object?

Find out the position of the image of an object situated at A in the plain mirror (given figure).

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (omegat + phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm//s , what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^-1 s If instead of the cosine function, we choose the sine function to describe the SHM : x= B sin (omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.

Give the nature, position and size of the image formed by a convex lens when the object lies at 2 F

Differentiate a^x w.r.t. x, where a is a positive constant.