If the distance y of a point moving on a straight line measured from a fixed origin on it and velocity v are connected by the relation `4v^(2)=25-y^(2)`, then show that the motion is simple harmonic and find its time period.

The relation between the distance of a point moving on a straight line measured from a fixed origin on it and its velocity v is given by 9v^(2) = 16-y^(2) Show that the motion of the point is simple harmonic and calculate its time period.

If the velocity v of a particle moving along a straight line and its distance s from a fixed point on the line are related by v^(2)=a^(2)+s^(2) , then its acceleration equals

If the velocity v of a particle moving along a straight line and its distance s from a fixed point on the line are related by v^(2)=a^(2)+s^(2) , then its acceleration equals

Show that the motion of a loaded spring is simple harmonic. Find an expression for its time period.

The speed (v) of particle moving along a straight line, when it is of a distance (x) from a fixed point on the line, is given by : v^(2) = 144 - 9x^(2)

The speed (v) of particle moving along a straight line, when it is of a distance (x) from a fixed point on the line, is given by : v^(2) = 144 - 9x^(2)

The speed (v) of particle moving along a straight line, when it is of a distance (x) from a fixed point on the line, is given by : v^(2) = 144 - 9x^(2)

The speed v of a particle moving along a straight line. When it is at distance x from a fixed point on the line is v^(2)=144-9x^(2) . Select the correct alternatives