The velocity vector v(t) measured in m/s for a particle at time t is given as v(t) = [(3t + 4t3)î − 2ĵ] m/s, where t is in seconds.
[a] Find the units of the coefficients 3, 4, and 2 in the vector v.
[b] Find the average acceleration in the interval t = 0 to t = 2 seconds.
[c] Find the acceleration at t = 2 s.
[d] Say that at t = 0 the particle is at the origin, r(0) = 0. Find the position vector r(t).
[e] Eliminate t to give the equation of the trajectory x as a function of y.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Jeffery took 7 minutes and 54 seconds to solve this problem. You can follow their steps in the video explanation above.