Find the distance travelled.
Not what you're looking for?
A particle moves along a line so that its velocity at time t is v(t)= t^2-t-6 m/s
a) Find the displacement of the particle during the time period 2< or equal to t< or equal to 4
and interpret the result.
b) Find the distance traveled during this time period.
Purchase this Solution
Solution Summary
The expert finds the distance traveled during this time period.
Solution Preview
A particle moves along a line so that its velocity at time t is v(t)= t2-t-6 m/s.
a) Find the displacement of the particle during the time period 2 < t < 4
and interpret the result.
b) Find the distance travelled during this time period.
Solution: Velocity v(t) = dx/dt = t2 - t - 6 ....... (1) where x represents the displacement of the particle.
dx = (t2 - t - 6)dt
Integrating we get: ∫dx = ∫(t2 - t - 6)dt
Displacement x = t3/3 - t2/2 - 6t + C ...........(2) where C is the constant of integration
Assuming at t = 0, x = 0. Substituting in (2) we get C = 0. ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.