the velosity of a particle moving along the x axis varies according to the expression Vx=40-5t2 whereVx is metre per second and t is in seconds the average accelaration in the time interval t=0 to t=2s is
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answer : -10m/s²
The velocity of a particle moving along the x-axis varies according to the expression, Vx = 40 - 5t²
we have to find average acceleration in the time interval t = 0 to t = 2s.
we know, rate of change of velocity with respect to time is known as acceleration.
so, a = dVx/dt = d(40 - 5t²)/dt = -10t
now, average acceleration in time interval (t = 0 to t = 2s ) ;
= {acceleration at( t = 0) + acceleration at (t = 2s)}/2
= {-10(0) + (-10)(2)}/2
= -10 m/s² [here negative sign indicates that acceleration is just opposite direction of its motion. ]
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