Two cyclists start from the junction of two perpendicular roads, there velocities being `3um//m in` and `4um//m in` , respectively. Find the rate at which the two cyclists separate.

Two men A and B start with velocities v at the same time from the junction of two roads inclined at 45^(@) to each other.If they travel by different roads,find the rate at which they are being separated.

Two men P and Q start with velocity u at the same time from the junction of two roads inclined at 45^(@) to each other.If they travel by different roads,find the rate at which they are being separated.

The distance of the two planets from the Sun are 10^(13)m and 10^(12) m , respectively. Find the ratio of time periods and speeds of the two planets.

The distances of two planets from the sun are 10^(13) m and 10^(12) m respectively. Find the ratio of time periods and speeds of the two planets.

A particle of mass M at rest decays into two particles of masses m_1 and m_2 having velocities V_1 and V_2 respectively. Find the ratio of de- Broglie wavelengths of the two particles

Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively. If the circumference of the circle is 300 metres, after what time will they meet at the starting point ?

Two particles are projected from a tower horizontally in opposite directions with velocities 10 m//s and 20 m//s . Find the time when their velocity vectors are mutually perpendicular. Take g=10m//s^2 .

Two billiard ball, rolling a flat table, have started moving from the same point. If their x components of velocities are sqrt3m//s and 2m//s and y components of velocities are 1m//s and 2m//s , respectively, calculate the angle between their paths .