For the displacement-time graph shown in figure the ratio of the magnitudes of the speeds during the first two seconds and the next four seconds is

Question

For the displacement-time graph shown in figure the ratio of the magnitudes of the speeds during the first two seconds and the next four seconds is (A) 1: 1 (B) 2: 1 (C) 1: 2 (D) 3: 2

Tardigrade Admin · Accepted Answer

In the first two seconds, the body moves with uniform speed, as indicated by the constant slope.

v_{1} = \frac{s}{t} = \frac{20 m}{2 s} = 10 m / s

In the next

4 s

, the velocity is again constant but in the opposite direction as indicated by the constant negative slope.

v_{2} = \frac{- 20 m}{4 s} = - 5 \frac{m}{s}

∣ ∣ \frac{v _{1}}{v _{2}} ∣ ∣ = (\frac{10}{5}) = 2 \Rightarrow \frac{∣ v _{1} ∣}{∣ v _{2} ∣} = \frac{2}{1}

Q. For the displacement-time graph shown in figure the ratio of the magnitudes of the speeds during the first two seconds and the next four seconds is

1 : 1

2 : 1

1 : 2

3 : 2