First slide
Rectilinear Motion
Question

A particle moving with a uniform acceleration along a straight line covers distance a and b in successive intervals of p and q second. The acceleration of the particle is

Moderate
Solution

According to problem, when 
s=a, t=p
s=ut+12ft2   (here, f= acceleration) 
a=up+fp22
for s=b, t=q
b=uq+fq22
After solving Eqs. (i) and (ii), we get 
f=2(aq-bp)pq(p-q)

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