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.

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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 fromt = 0 to t = 2t1 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.
Transcribed Image Text: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 fromt = 0 to t = 2t1 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.
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