Question: need answer not need to much explanation 3. Using definite and indefinite integration, solve the problems in sub-tasks (a), (b) and (c). (a) The velocities

need answer not need to much explanation

need answer not need to much explanation 3. Using definite and indefinite

3. Using definite and indefinite integration, solve the problems in sub-tasks (a), (b) and (c). (a) The velocities (v) of two vehicles with the same starting position $ att = 0, travelling in the same direction, are given by the equations below: V1 = 3t + 2 m/s V2 = 2t2 - 4t m/s (i) Derive an expression for the distance travelled by each vehicle, s, and s, in terms of t and S. (ii) Initially one of the vehicles will move ahead but the other will catch up and overtake. When does this happen? (b) At time t = 0 seconds, an 80 V d.c. supply (V) is connected across a coil of inductance 4 H (L) and resistance 10 Q (R). Growth of current (?) in the inductance is given by the formula: i= 1- 0 amps A current of 1 amp of represents a flow of 1 coulomb of charge per second. Using definite integration, find the total charge (Q) passing through the circuit in the period t = 0.3 to t = 1 seconds. (c) The velocity in metres per second v of a car at time t seconds after the brakes are applied is given by: v = 15e- m/s Predict the distance the vehicle will travel in the first two seconds of braking

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