A body moving along a straight line with a uniform acceleration covers 20 cm in one second and 30 cm in very next second. The body has an acceleration of

Question

A body moving along a straight line with a uniform acceleration covers 20 cm in one second and 30 cm in very next second. The body has an acceleration of (A) 10 cm s-2 (B) 5 cm s-2 (C) 30 cm s-2 (D) 20 cm s-2

Tardigrade Admin · Accepted Answer

Let the initial velocity be u and acceleration be a.
Case 1:
Distance covered

S = 20 m

Time taken

t = 1 s

Using

S = u t + \frac{1}{2} a t^{2}

Or

20 = u (1) + \frac{1}{2} a (1)^{2}

⟹ 20 = u + \frac{a}{2}

We get

u = 20 - \frac{a}{2}

Case 2 :
Total distance covered

S = 20 + 30 = 50 m

Total time taken

t = 1 + 1 = 2 s

So,

50 = u (2) + \frac{1}{2} a (2)^{2}

or

50 = 2 u + 2 a

Or

50 = 2 (20 - \frac{a}{2}) + 2 a

Or

50 = 40 - a + 2 a

⟹ a = 10 m / s^{2}

Q. A body moving along a straight line with a uniform acceleration covers $20 c m$ in one second and $30 c m$ in very next second. The body has an acceleration of

$10 c m$ $s^{- 2}$

$5 c m$ $s^{- 2}$

$30 c m$ $s^{- 2}$

$20 c m$ $s^{- 2}$

Q. A body moving along a straight line with a uniform acceleration covers 20cm in one second and 30cm in very next second. The body has an acceleration of

10cm s−2

5cm s−2

30cm s−2

20cm s−2

Q. A body moving along a straight line with a uniform acceleration covers $20 c m$ in one second and $30 c m$ in very next second. The body has an acceleration of

$10 c m$ $s^{- 2}$

$5 c m$ $s^{- 2}$

$30 c m$ $s^{- 2}$

$20 c m$ $s^{- 2}$