Question

please do 1,2 and 3 thanks

1.The position of a particle moving along the x axis is given in centimeters by x = 9.12 + 1.75 t³, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s.

2.a) If the position of a particle is given by x = 18t - 6t³, where t is in seconds and x is in meters, when is the particle's velocity zero? (b) When is its acceleration a zero?

3.On a dry road, a car with good tires may be able to brake with a constant deceleration of 3.65 m/s². (a) How long does such a car, initially traveling at 22.3 m/s, take to stop? (b) How far does it travel in this time?

Answer 1

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