Question
An object moves along the x axis according to the equation x = 4.00t2 − 2.00t...
An object moves along the x axis according to the equation
x = 4.00t2 − 2.00t + 3.00,
where x is in meters and t is in seconds.
(a) Determine the average speed between t = 1.60 s and
t = 3.20 s.
The average speed is the distance traveled divided by the time. Is
the distance traveled equal to the displacement in this case?
m/s
(b) Determine the instantaneous speed at t = 1.60 s.
m/s
Determine the instantaneous speed at t = 3.20 s.
m/s
(c) Determine the average acceleration between t = 1.60 s
and t = 3.20 s.
The average acceleration is the change in velocity divided by the
time interval. m/s2
(d) Determine the instantaneous acceleration at t = 1.60
s.
m/s2
Determine the instantaneous acceleration at t = 3.20
s.
The instantaneous acceleration is equal to the average acceleration
in this case, but your value for the average acceleration is
incorrect. m/s2
(e) At what time is the object at rest?
The instantaneous velocity will be zero when the object is at rest.
Take the derivative of x(t) to find
v(t). s
Homework Answers
Answer #1
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