Question

The position of a particle moving along the x axis is given in centimeters by x = 9.16 + 1.52 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.

Answer #1

The position of a particle moving along the x axis is
given in centimeters by x = 9.31 + 1.02
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...

The position of a particle moving along the x axis is
given in centimeters by x = 9.58 + 1.68
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...

The position of a particle moving along the x axis is
given in centimeters by x = 9.18 + 1.66
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...

Mechanic Physics:
The position of a particle moving along the x axis is
given in centimeters by x = 9.67 + 1.74
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...

The position of a particle moving along the x axis is
given in centimeters by x = 9.75 + 2.50t
3, where t is in seconds. Consider the time
interval t = 2.00 s to t = 3.00 s.
(a) Calculate the average velocity.
(b) Calculate the instantaneous velocity at t = 2.00
s.
(c) Calculate the instantaneous velocity at t = 3.00
s.
(d) Calculate the instantaneous velocity at t = 2.50
s.
(e) Calculate the instantaneous velocity when...

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...

The position of a particle moving with constant acceleration is
given by x(t) = 2t2 +
8t + 4 where x is in meters and t is in
seconds.
(a) Calculate the average velocity of this particle between
t = 6 seconds and t = 9 seconds.
(b) At what time during this interval is the average
velocity equal to the instantaneous velocity?

The position of a particle moving with constant acceleration is
given by
x(t) = 4t2 + 3t +
4
where x is in meters and t is in seconds.
(a) Calculate the average velocity of this particle between
t = 2 seconds and t = 7 seconds.
(b) At what time during this interval is the average velocity equal
to the instantaneous velocity?
(c) How does this time compare to the average time for this
interval?
a. It is larger....

The position of a particle moving along the x axis is given in
meters by x = 3.0t2 – 1.0t3, where t is in
seconds. (a.) At what time does the particle reach its maximum
positive x position? (b.) What total length of path does the
particle cover in the first 4.0 sec? (c.) What is its displacement
during the first 4.0 sec? (d.) What is the particle’s speed at the
end of the first 4 sec? (e.) What is...

The displacement (in centimeters) of a particle moving back and
forth along a straight line is given by the equation of motion
s = 4 sin(πt) + 5
cos(πt),
where t is measured in seconds. (Round your answers to
two decimal places.)
(a) Find the average velocity during each time period.
(i) [1, 2] cm/s
(ii) [1, 1.1]
cm/s
(iii) [1, 1.01]
m/s
(iv) [1, 1.001]
(b) Estimate the instantaneous velocity of the particle when
t = 1.

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