Question

Find the distance covered by a particle in 4 s from the speed time graph given below?​

Answer 1

From the given speed time graph we are asked to find the distance covered by a particle in 4 seconds

• In the velocity time graph / speed time graph the distance or displacement can be founded by the area under the curve!

$:\implies \sf Distance \: = Area \: under \: curve \\ \\ :\implies \sf s \: = Area \: under \: curve \\ \\ :\implies \sf s \: = Area \: of \: triangle \\ \\ :\implies \sf s \: = \dfrac{1}{2} \: Base \times Height \\ \\ :\implies \sf s \: = \dfrac{1}{2} \times (4-0) \times (20-0) \\ \\ :\implies \sf s \: = \dfrac{1}{2} \times 4 \times 20 \\ \\ :\implies \sf s \: = \dfrac{1}{2} \times 80 \\ \\ :\implies \sf s \: = 40 \: m \\ \\ :\implies \sf Distance \: = 40 \: m$

Answer 2

Answer:

40m is the answer . . . . . . . .