Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

The position of an object moving along a line is given by #p(t) = 2t - t^2cos(( pi )/3t) #. What is the speed of the object at #t = 5 #?

1 Answer

Chitram Banerjee

Apr 21, 2016

#p(t) = 2t - t^2cos(pi/3t)#

The speed is given as:

#v(t) = dotp(t) = 2+2pi/3tsin(pi/3t)#

so,

#v(5) = 2+(2pi)/3*5*sin((5pi)/3) ~~ 2 +(2pi)/3*5*(-0.87) = -7.11 #

Related questions

See all questions in Displacement and Velocity

Impact of this question

1336 views around the world

You can reuse this answer
Creative Commons License