Question

The velocity of a particle is v = { 5 i + ( 6 – 2t ) j } m/sec , where ‘ t ‘ is in secs. r = 0, When t = 0 , determine the displacement of the particle during the time interval t = 1 secs to t = 3secs .

Answer #1

1-The velocity of a particle is v = { 6 i + (
28 - 2 t ) j } m/s, where t is in seconds. If r=0
when t=0, determine particle displacement during time interval t =
3 s to t = 8 s in the y direction.
2-A particle, originally at rest and located at point (1 ft, 4
ft, 5 ft), is subjected to an acceleration of a={ 3 t
i + 17 t2k} ft/s.
Determine magnitude...

The velocity function (in meters per second) is given for a
particle moving along a line.
v(t) =
t2 − 2t −
8, 1 ≤ t ≤ 5
(a) Find the displacement. (m)
(b) Find the distance traveled by the particle during the given
time interval. (m)

A particle travels along a straight line with a velocity
v=(12−3t^2) m/s , where t is in seconds. When t = 1 s, the particle
is located 10 m to the left of the origin.
Determine the displacement from t = 0 to t = 7 s.
Determine the distance the particle travels during the time
period given in previous part.

If the acceleration of a particle is given by a(t)=2t-1 and the
velocity and position at time t=0 are v(0)=0 and S(0)=2.
1. Find a formula for the velocity v(t) at time t.
2. Find a formula for the position S(t) at time t.
3. Find the total distance traveled by the particle on the
interval [0,3].

) The velocity function v(t) = −2t + 6, on the interval [1,5] is
given for a particle moving along a line. Find the distance
traveled

please ASAP!!
Suppose that a particle has the following acceleration vector
and initial velocity and position vectors.
a(t) = 5 i +
9t k,
v(0) = 3 i
−
j, r(0)
= j + 6 k
(a)
Find the velocity of the particle at time t.
(b)
Find the position of the particle at time t.

The velocity v of a particle moving in the
xy plane is given by
v = (7.0t
-4.0t2 )i +
7.5j, in m/s. Here v is
in m/s and t (for positive time) is in s. What is
the acceleration when t = 3.0 s?
i-component of acceleration?
j-component of acceleration?
When (if ever) is the acceleration zero (enter time in
s or 'never')?
When (if ever) is the velocity zero (enter time in s or
'never')?

A moving particle starts at an initial position
r(0) = <1, 0, 0> with initial velocity
v(0) = i - j +
k. Its acceleration is a(t) = 4t
i + 4t j +
k.
Find its velocity, v(t), and position,
r(t), at time t.

A) A particle starts from the origin with velocity 5 ?̂m/s at t
= 0 and moves in the xy plane with a varying acceleration given by
?⃗ = (2? ?̂+ 6√? ?̂), where ?⃗ is in meters per second squared and
t is in seconds.
i) Determine the velocity of the particle as a function of
time.
ii) Determine the position of the particle as a function of
time.
(Explanation please )

A
particle moves in a straight line with velocity 8-2t ft/s. Find the
total displacement and total distance traveled over the time
interval [0, 7].

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