A particle is moving eastward with a velocity 5 ~ms ⁻¹ . In 10 ~s the velocity changes to 5 ~ms ⁻¹ northwards. The average acceleration in this time is

Step-by-step solution

Given, u=5 ~ms ⁻¹ , Eastwards v=5 ~ms ⁻¹ , Northwards and t=10 ~s Change in velocity | v|= u²+v² = 5²+5² =5 2 ~ms ⁻¹ Direction of v , = v u = -5 5 =-1 (taking eastward direction positive) =135^ Average acceleration, a_ avg = v t = 5 2 10 = 1 2 ~ms ⁻² , towards North-West