Hckyplayer8
Full Member
- Joined
- Jun 9, 2019
- Messages
- 269
"A particle moving along the x axis has a position given by x = (24t – 2.0t3) m, where t is measured in s. What is the magnitude of the acceleration of the particle at the instant when its velocity is zero? Your solution should include equations for both velocity and acceleration as functions of time."
It's the middle portion that is tripping me up.
They give position. The first derivative of position is velocity. The second derivative is acceleration.
Thus
f'(x) = (24-6.0t^2)m
and
f''(x) = (-12t)m
"What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?"
Is this asking me to set velocity to zero, solve for time and then plug that value into the acceleration function?
It's the middle portion that is tripping me up.
They give position. The first derivative of position is velocity. The second derivative is acceleration.
Thus
f'(x) = (24-6.0t^2)m
and
f''(x) = (-12t)m
"What is the magnitude of the acceleration of the particle at the instant when its velocity is zero?"
Is this asking me to set velocity to zero, solve for time and then plug that value into the acceleration function?