Question

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].

Answer #1

A particle moves in a straight line with the given velocity
?(?)=9cos(?) (in m/s). Find the displacement and distance traveled
over the time interval [0,9?]. Calculate the displacement and
distance.

Question 4.
An object moves in a straight line with a velocity of v(t) = ((t
− 2)(t − 3)).
a) What is the total displacement on the time interval [0,
5]?
b) What is the total distance traveled on the time interval [0,
5]?

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].

A point moves along a straight line such that its displacement
is s = 8t2 + 2t, where s is in meters and t is in seconds. Plot the
displacement, velocity and acceleration against time. These are
called s-t, v-t, a-t diagrams.

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 moves along a line with velocity v(t)=(3 -
t)(2+t), find the distance traveled during the time interval [0,
1].

The x and y components of the velocity of a particle are
Vx=(2t + 4)ft/s &
Vy=(8/y)ft/s. Initially, the particle if found at
coordinates x=1 and y=0.
Determine the position, magnitude of velocity, and magnitude of
the acceleration of the particle when t = 2s

A particle that moves along a straight line has velocity v ( t )
= t^2e^− 2t meters per second after t seconds. How many meters will
it travel during the first t seconds (from time=0 to time=t)?

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.

A particle moves according to a law of motion
s = f(t),
t ≥ 0,
where t is measured in seconds and s in
feet.
f(t) =
t3 − 15t2
+ 72t
(a) Find the velocity at time t.
v(t) =
(b) What is the velocity after 5 s?
v(5) =
(c) When is the particle at rest?
t = s (smaller value)
t = s (larger value)
When is the particle moving in the positive direction? (Enter
your answer in interval...

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