Find avg. speed
Algebra
Level
pending
If a position of a particle is changing according to
x=t^2 - 5*t + 6
(where x = displacement, t = time).
Find average speed in 0-3 s ?
65/30
10/3
3
2
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1 solution
At t=0, x=6 (max displacement),
Minima of the function is at t=2.5, the object moved to x = -0.25, which implies that from x=6, the object moved to x=-0.25 and then returned to x=0. So distance travelled is 6 + 0.25 + 0.25 = 6.5 m. Time taken is 3 sec.
t=2, x=0 & t=3, x=0
So avg. speed is 6.5/3 = 65/30 m/s