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
*t*^{3}, 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* = 18*t* - 6*t*^{3}, 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/s^{2}.
**(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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