A particle

A particle moves in a straight line so that its velocity (m/s) at time t seconds is given by v(t) = 3t2-4t-4, t > 0.

Initially, the particle is 8 meters to the right of a fixed origin.

After how many seconds is the particle at the origin?

Correct answer:

t =  2 s

Step-by-step explanation:

v(t) = 3t24t4 s(t) =  v(t) dt s(t) =  t3  2 t2 4t + C C=8  s(t) = 0 t3  2 t2 4t + 8 = 0 t1=2 t2=2  t>0 t=t2=2=2 s

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Themes, topics:

Grade of the word problem:

Related math problems and questions: