First slide

The 3 equation for uniform acc

Question

A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is

Easy

A

3 m s^-1
B

2.5 m s^-1
C

1 m s^-1
D

1.5 m s^-1

Solution

$\begin{aligned} 3 V_{0} + \frac{1}{2} a \cdot 3^{2} = 12 \dots . \\ 6 V_{0} + \frac{1}{2} a \cdot 6^{2} = 30 + 12 \end{aligned}$
Solving, $V_{0} = 1 m / s$

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