The radius of the circle, in cm, after t seconds would be 50t The area, A, of the circle after t seconds is expressed in the equation: A = pi * r^2 A = pi * (50T)^2 = pi*2500*t^2 The change of area per unit time is obtained by differentiating the equation A' = pi*2500*2*t A' = pi*5000*t when t = 3 secondsA' = pi*5000*3 = 47122 cm2/s
Newton's first law of motion is an object in motion stays in motion until acted upon by another force. Driving at 30 mph in a car is going to stay constant until you crash the car into a wall, stopping the car.