Question 57

A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance X,, in the first 10 s and distance X, in the remaining 10 s, then whichof the following is true?

Solution

The correct option is D.

$$X_{1}$$ = $$ut+\frac{1}{2}at^{2}$$ where, u=0

$$\Rightarrow$$ $$X_{1}$$ = $$\frac{1}{2}a10^{2}$$ ..... (1)

$$\Rightarrow$$ $$X_{2}$$ = $$ut+\frac{1}{2}at^{2}$$ where, u = 10a

$$\Rightarrow$$ $$X_{2}$$ = 10a + $$\frac{1}{2}$$ $$a10^{2}$$ ........ (2)

Dividing (1) and (2) we get $$\frac{X_{1}}{X_{2}}$$ = $$\frac{1}{3}$$

$$\Rightarrow$$ $$X_{2}=3X_{1}$$

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