The position of a particle is given by R-3t- i-2t-2- j-4- k-m where t is in seconds and coefficients have proper units for R to be in m- Find v and aof the particle- and the magnitude and direction of velocity of particle at t-2-

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Direction of Instantaneous Velocity

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The position of a particle is given by \overrightarrow R=(3t\overset∧ i-2t^2\overset∧ j+4\overset∧ k)m where t is in seconds and coefficients have proper units for \overrightarrow R to be in m. Find \overrightarrow v and \overrightarrow aof the particle, and the magnitude and direction of velocity of particle at t=2.

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\to r = 3 t^i + \sqrt{3} t^{2}^j - 4^k

t

\to r

\to v

t = \sqrt{3} s

\to r = 3 t^i + \sqrt{3} t^{2}^j - 4^k

t

\to r

\to v

\to v

t = \sqrt{3} s .

The position of a particle is given by

Where t is in seconds and the coefficients have the proper units for r to be in metres.

(a) Find the v and a of the particle?

(b) What is the magnitude and direction of velocity of the particle at t = 2.0 s?

r = 3.0 t^i + 2.0 t^{2}^j + 5.0^k

t

r

v (t)

(t)

v (t)

t = 1.0 s

\to r

^i

t^{2}

^j

^k

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