7. A car of mass m, is speeding up on level ground with an acceleration as a function of time given byd(t) = a1where az and t, are non-zero constants. The mass of the car stays the same (it is a constant).a. Write Newton's 2nd Law for a system that only includes the car.b. Integrate your Newton's 2nd Law equation with respect to time fromt = 0 to t = 2t1 to determinean expression that relates the impulse exerted on the car to the mass and acceleration of the car.c. Determine the magnitude of the impulse on the car from t = 0 to t = 2t1. Note: this is the vectorsum of all the impulses or "net impulse" acting on the car during this time period.

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7. A car of mass m. is speeding up on level ground with an acceleration as a function of time given by d(t) = a1 where az and t, are non-zero constants. The mass of the car stays the same (it is a constant). a. Write Newton's 2nd Law for a system that only includes the car. b. Integrate your Newton's 2nd Law equation with respect to time from t = 0 to t = 2t, to determine an expression that relates the impulse exerted on the car to the mass and acceleration of the car. c. Determine the magnitude of the impulse on the car from t = 0 to t = 2t1. Note: this is the vector sum of all the impulses or "net impulse" acting on the car during this time period.

7. A car of mass m. is speeding up on level ground with an acceleration as a function of time given by d(t) = a1 where az and t, are non-zero constants. The mass of the car stays the same (it is a constant). a. Write Newton's 2nd Law for a system that only includes the car. b. Integrate your Newton's 2nd Law equation with respect to time from t = 0 to t = 2t, to determine an expression that relates the impulse exerted on the car to the mass and acceleration of the car. c. Determine the magnitude of the impulse on the car from t = 0 to t = 2t1. Note: this is the vector sum of all the impulses or "net impulse" acting on the car during this time period.