Physics

Problem

A cart moves horizontally with constant velocity

10\,\text{m/s}

. A projectile is fired from the cart in the direction of motion with a relative velocity of

20\,\text{m/s}

at an angle of

60^{\circ}

to the horizontal. A runner on the ground starts from the cart's position at

t=0

. Find the speed the runner needs to catch the ball. (Take

g = 10\,\text{m/s}^{2}

)