A particle is moving in a straight line with some initial velocity such that its acceleration during three consecutive equal intervals of time are in the ratio 1 : 2 : 7. The distances covered in the

Question

A particle is moving in a straight line with some initial velocity such that its acceleration during three consecutive equal intervals of time are in the ratio 1 : 2 : 7. The distances covered in the first and third parts are p and q while time taken for each of the part is t. Average velocity of th

Accepted Answer

Answer: . — Let accelerations be k, 2k, 7k Distance in first interval: p = ut + 1/2 kt² Distance in second interval: s₂ = (u + kt)t + 1/2 (2k)t² Distance in third interval: q = (u + 3kt)t + 1/2 (7k)t² Solving equ

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