Homework Help: Math/Physics

Posted by winterWX on Thursday, February 1, 2007 at 8:29pm.

The velocity v of a particle moving in the xy plane is given by v = (6.0t - 4.0t2) i + 4.0 j, with v in meters per second and t (> 0) is in seconds.

What is the acceleration when t = 3.0 seconds? When is the acceleration zero? When is the velocity zero? When does the speed equal 10 m/s?

Please help :)

a= d^2/dt^2= you do it.

For the acceleration, calculate dv/dt.
dv/dt = (6.0 - 8.0 t) i
Plug in t=3 for the acceleration at that time. Set dv/dt = 0 and solve for t when acceleration = 0.
Speed is sqrt [(6t-4t^2)^2 +4^2]
Set it equal to 10 and solve for t, to do the last part of your questiuon.

so: 10=sqrt[(6t-4t^2)^2 + 4^2], so then I square both sides and get 100=[(6t-4t^2)^2 + 4^2]. Then what do I do, I'm stuck...

When is speed equal to 10m/s.

10=sqrt[(6t-4t^2)^2 +4^2]
100=[(6t-4t^2)^2 + 4^2].
subtract 4^2 from each side.
Take the square root of each side.
solve for t.

Math/Physics - jane, Sunday, October 12, 2008 at 5:45pm
so when is the velocity zero then?

Answer this Question

Related Questions

physics - The position vector r of a particle moving in the xy plane is r=2ti+...
physics - At t = 0, a particle moving in the xy plane with constant acceleration...
physics - A particle moves along the x-axis according to the equation x = 50.0t...
College Physics - A particle is moving in the xy plane with constant ...
PHYSICSS!!!!! - At t = 0, a particle moving in the xy plane with constant ...
physics - A particle moves in the xy plane with constant acceleration. At time ...
Physics - The position vector r of a particle moving in an xy plane is given by...
physics - At t = 0, a particle leaves the origin with a velocity of 9 m/s in ...
Physics Quick!! - At t = 0, a particle moving in the xy plane with constant ...
Calculus - The position of a particle moving on a horizontal line is given by s(...

For Further Reading

First Name:
School Subject:
Answer: