Velocity-time graph

Classical Mechanics Level 1

The above is the velocity-time graph of a runner. How far does this runner travel for $16$ seconds?

The figure’s vertical scaling is set by $v_{s} = 8.0 \text{ m/s.}$

50 m 200 m 150 m 100 m

1 solution

Mohd Naim Mohd Amin
May 20, 2014

Hey yo,if you're so concerned,

area under the graph of ( V vs t) is distance,

Total distance = (0.5 x 2 x 8) +( 8 x 8 ) + ( 0.5 x ( 8 +4) x 2) + ( 4 x 4) = 100m,

Thanks ah....

Actually, this is not a velocity graph. It is about speed (the magnitude of velocity).

See this problem for disambiguation.

Filip Rázek - 3 years, 6 months ago

You can solve this problem by dividing this graph into 4 parts and then calculate area under graph. However, you can directly determine for distance by using formulas. The results are the same.

Supathat Sukaiem - 7 years ago

what is 0.5 here????

Abhishek Verma - 7 years ago

AREA OF TRIANGLE-HALF

Pradeep Karna - 6 years, 11 months ago

Velocity-time graph

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