Prove that with uniformly accelerated motion, the average value of speed is equal to the arithmetic average
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Prove that with uniformly accelerated motion, the average value of speed is equal to the arithmetic average
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- A ball dropped from a state of rest at time t = 0 travels a distance s(t) = 4.9t 2 mint seconds.(a) How far does the ball travel during the time interval [2, 2.5]?(b) Compute the average velocity over [2, 2.5].(c) Compute the average velocity for the time intervals in the table andestimate the ball's instantaneous velocity at t = 2. Interval [2, 2.01] [2, 2.005] [2, 2.001] [2, 2.00001] Average velocityThe position of a particle along a coordinate axis at time t (in seconds) is given by s(t)=−2t2−6t+2 (in meters). Find the function that describes its acceleration at time t .A car that is going at a velocity of 35 m/s can decelerate (i.e. brake) on dryconcrete at a constant rate of 8 m/s^2 and 3 m/s^2 on wet asphalt. Find the total distance thata car travels on dry concrete versus wet asphalt from when the brakes are applied to when itcomes to a complete stop.