Instantaneous Acceleration in 2D Video Lessons

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Problem: 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.

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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.

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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.

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