Question

a particle starting from rest travels a distance x in first two seconds and a distance y in next two seconds, then show that y = 3x

Answer 1

just considered motion under construction acc a then solved as shown by using equation hope u understand please comment if any doubt

Answer 2

Answer:

The proof is explained step-wise below :

Step-by-step explanation:

A particle starting from rest travels a distance x in first two seconds

$\implies x = \frac{1}{2}at^2\\\\\implies x = \frac{1}{2}a\times 4\\\\\implies x = 2a ......(1)$

Now, The particle travels distance y in next 2 seconds

$\implies y = \frac{1}{2}a\times 4^2-\frac{1}{2}a\times 2^2\\\\\implies y = 6a$

Now, x = 2a from equation (1)

⇒ y = 3x

Hence Proved.