Question

The position of a particle moving along the *x* axis
depends on the time according to the equation *x* =
*ct*^{2} − *bt*^{3}, where *x*
is in meters and *t* in seconds.

For the following, let the numerical values of *c* and
*b* be 5.1 and 1.5, respectively. (For vector quantities,
indicate direction with the sign of your answer.)

(c) At what time does the particle reach its maximum positive
*x* position? From *t* = 0.0 s to *t* = 4.0 s,
what distance does the particle move?

(e) From *t* = 0.0 s to *t* = 4.0 s, what is its
displacement?

Answer #1

(c) Maximum positive *x* position reaches at t = 1.505
s.

Distance travelled between t=0, t=4s is D = 27.22 m.

(e.) Maximum displacement = 14.4 m. ( in -x direction)

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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...

Two particles move along an x axis. The position of
particle 1 is given by x = 10.0t2 +
6.00t + 4.00 (in meters and seconds); the acceleration of
particle 2 is given by a = -9.00t (in meters per seconds
squared and seconds) and, at t = 0, its velocity is 24.0
m/s. When the velocities of the particles match, what is their
velocity?

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 =
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t3, where t is in seconds. Calculate
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t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
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t = 2.50 s; and (e) the instantaneous
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t3, where t is in seconds. Calculate
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the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
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t = 2.50 s; and (e) the instantaneous
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3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the
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(c) the instantaneous velocity at t =
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A 3.60-kg particle moves along the x axis. Its position varies
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(a) Calculate the average velocity.
(b) Calculate the instantaneous velocity at t = 2.00
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(c) Calculate the instantaneous velocity at t = 3.00
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(d) Calculate the instantaneous velocity at t = 2.50
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(e) Calculate the instantaneous velocity when...

2). A particle moving on the x-axis has a time-dependent
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(a) So that the position in x has units of meter which are the
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Sic = 5yb = 1.Desdeti = 0satf = 3s.
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