Question

A body moving with uniform acceleration has velocities 20 metre per second and 30 metre per second when passing two points A and B .then the velocity Midway between A and B is ​

Answer 1

A body moving with uniform acceleration has velocities 20 metre per second and 30 metre per second when passing two points A and B .then the velocity Midway between A and B is ​$\sqrt{650} ms^{-1}$

• Given,
• A body moving with uniform acceleration has velocities 20 metre per second when passing two points A.
• A body moving with uniform acceleration has velocities 30 metre per second when passing two points B.
• Let the total distance between A and B be x.
• Midway between A and B be x/2.
• u = 20 m/s
• v = 30 m/s
• v^2 = u^2 + 2as
• a = (v^2 - u^2)/2s
• a = (30^2 - 20^2)/2x
• ⇒ a = 250/x
• v'^2 = u^2+2a (x/2)
• v'^2 = (20)^2 + 2 (250/x) (x/2)
• v'^2 = 650
• ∴ v' =$\sqrt{650}$