The instantaneous velocity of the sloth climbing vertically on a vine at t= 8 sec is 1.5 m/s.
Velocity is a vector quantity. There is both a magnitude and a direction to it. Speed is the measure of the magnitude of velocity. The meter per second is its S.I. unit. Other units like Km/h and Km/s are also included. [LT-1] is the dimensional formula for it.
Instantaneous velocity at any particular instant is given by the slope of the position-time graph at that particular instant. The slope of the curve is also equal to the tangent of the angle made by the slope.
In the given Graph, the instantaneous velocity at t= 8 sec will be given by the slope of the straight line from t=7 t0 t=9.
For t=7 sec, the value of y= 2 m
For t=9 sec, the value of y= 5 m
So instantaneous velocity at t= 8 sec is given by
V = (5 - 2) / (9 -7) m/s
V = 3/2 m/s
V = 1.5 m/s
Hence, the instantaneous velocity of the sloth climbing vertically on a vine at t= 8 sec is 1.5 m/s.
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