Question

The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0 to t = 5 s will be________.

Hint:

Distance is the area under the speed-time graph; the line passes through the origin and the marked point (5 s, 8 m/s).

Answer 1

Correct Answer: 20

Slope of the line: \(a = \dfrac{8}{5} = 1.6\) m/s², starting from rest.
\(s = \tfrac12at^2 = \tfrac12\times1.6\times5^2 = 20\) m.
Answer: 20