Q3The 100 kg cart is hoisted up the hill with a motor driven cable system in Figure 2. Theforce in the cable is F= (0.8t+1000) N, where tis measured in seconds. The cartstarts from rest. The total coefficient of friction between the wheels and the hill is 0.2.Use g = 9.81 m/s?.300m400mFigure 2a) Draw the free body diagram for the cart and all forces acting on the cart.b) If force changes with time, is the acceleration constant or does it also changewith time?c) Determine the general equation for acceleration for the motion of the particleand find the acceleration at t = 10 s.d) Determine the general equation for velocity for the motion of the particle and findthe velocity at t = 10 secondse) Determine the general displacement equation for the motion of the particle andfind the displacement at t = 10 seconds.

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a) Draw the free body diagram for the cart and all forces acting on the cart. b) If force changes with time, is the acceleration constant or does it also change with time? c) Determine the general equation for acceleration for the motion of the particle and find the acceleration at t = 10 s.