What is the position r(t) of the object as a function of time if x(0) = 0 m? Solve this by direct integration: In other words, solve via x(t) − x( S v₂ (t')dt'.
What is the position r(t) of the object as a function of time if x(0) = 0 m? Solve this by direct integration: In other words, solve via x(t) − x( S v₂ (t')dt'.
Related questions
Question
Please explain and work out part b with plenty of explanations on the integration parts
Transcribed Image Text:A sin(wt), where
1. An object moves along the x-axis with a velocity given by vx(t)
3s¹ and A 1 m/s. (For an example of a physical scenario in which this type of
behavior might occur, see question 4.)
W=
=
=
(a) What is the displacement Ax of the object between t = = 0 and t
=
Solve this graphically: Draw a graph of v₂ vs. t for the indicated time range,
and determine your answer entirely by examining this graph.
2 s?
(b) What is the position x(t) of the object as a function of time if x(0) = 0 m?
Solve this by direct integration: In other words, solve via x(t) − x(0)
So vz(t)dt'.
Expert Solution
Step 1
(b) Given: The velocity of the object is .
The value of is .
The value of A is .
To determine: The position of the object as a function of time.
The velocity of the object is given as
where x is the position of the particle.
Substitute the value of v
Integrate this equation on both sides of the equation
Step by step
Solved in 2 steps
