Question

A particle accelerates from rest at a constant rate for some time and attains a peak velocity of $8\text{m}{\text{s}}^{-1}$. Afterwards, it decelerates at the same rate and comes to rest. If the total time taken is 4 seconds, the total distance travelled is _____.

• A. $25\text{m}$
• B. $16\text{m}$
• C. $4\text{m}$
• D. $32\text{m}$

Answer 1

The correct option is B $16\text{m}$

We can draw the velocity-time graph as:
Distance traveled = Area under the graph = $\frac{1}{2}\times 8\times 4=16\text{m}$