Question

Consider the following Velocity-Time graph. It shows two trains starting simultaneously on parallel tracks.
With reference to the above graph, which one of the following statements is not correct ?
(a) Train B has an initial acceleration greater than that of Train A.
(b) Train B is faster than Train A at all times.
(c) Both trains have the same velocity at time to'
(d) Both trains travel the same distance in time to units.

• A. Train B has an initial acceleration greater than that of Train A.
• B. Train B is faster than Train A at all times.
• C. Both trains have the same velocity at time to'
• D. Both trains travel the same distance in time to units

Answer 1

The correct option is D Both trains travel the same distance in time to units

Slope of the velocity time graph at ant time $t$, gives acceleration at that point of time. The figure shows that the train $BB$ has a varying acceleration while a has a constant acceleration.

Area under velocity time graph given displacement in the interval Here, $B$ has covered a large displacement than $A$. This can be attribute to it goining speed quickly. But the velocity at $t$ to both are came.