At time ? = 0 [s], a particle at rest with mass ? = 3.50 [kg] began experiencing a mysterious time varying force along the +? direction. The force experienced by the object is modelled by the piecewise function. The force is observed to have the values ?? = 4.00 [N] and ?? = 3.00 [N] at times ? = 0 [s] and ? = 2.00 [s] respectively. a.) Find the value of the constants ? and ? in SI units. b.) Plot the graph of ?? as a function of ?. Include axes labels, axes tick marks, and gridlines on your plot. c.) What is the impulse exerted by this mysterious force on the particle in the time interval 0 [s] ≤ ? ≤ 2.00 [s]. d.) How much will the velocity of the particle change during this time interval? e.) Find the average force exerted on the particle in this time interval.
At time ? = 0 [s], a particle at rest with mass ? = 3.50 [kg] began experiencing a mysterious time varying force along the +? direction. The force experienced by the object is modelled by the piecewise function.
The force is observed to have the values ?? = 4.00 [N] and ?? = 3.00 [N] at times ? = 0 [s] and ? = 2.00 [s] respectively.
a.) Find the value of the constants ? and ? in SI units.
b.) Plot the graph of ?? as a function of ?. Include axes labels, axes tick marks, and gridlines on your plot.
c.) What is the impulse exerted by this mysterious force on the particle in the time interval 0 [s] ≤ ? ≤ 2.00 [s].
d.) How much will the velocity of the particle change during this time interval?
e.) Find the average force exerted on the particle in this time interval.
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