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)

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?

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
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(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
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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...

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...

An object is moving along the x-axis. It's x-velocity as a
function of time is given by vx = 3 t2 - 2 t
(which gives vx in meters for t in seconds). What is its
displacement during the time interval from t = 2 s to t = 4 s?
Answer Choices:
44
60
48
34
12

The velocity of a particle moving along the x-axis
varies with time according to
v(t) = A +
Bt−1,
where
A = 7 m/s,
B = 0.33 m,
and
1.0 s ≤ t ≤ 8.0 s.
Determine the acceleration (in m/s2) and position (in
m) of the particle at
t = 2.6 s
and
t = 5.6 s.
Assume that
x(t = 1 s) = 0.
t = 2.6 s
acceleration m/s2 position m
?
t = 5.6 s
acceleration m/s2
position m ?

A proton moves along the x axis according to the equation x =
50t + 10t2, where x is in meters and t is in seconds.
For the time range, -8 s ≤ t ≤ 4s, answer the questions
below. Show all work and explain your answers.
a) Estimate the fathest distance this proton could move in the
negative direction of the x axis. What is the velocity at
the moment?
b) In this time range, find out when the...

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