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Velocity Displacement Relationship

19.The positi...

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19.The position vector of a particle R vector as a function of time is given by- R vector=4sin(2pit)i+4cos(2pit)j Where R is in m,t is in sec & i & j denote unit vectors along x & y directions respectively.Which one of the following statements is wrong for the motion of particle? 1 patglh of the particle is a circle of radius 4 m 2 acceleration vectors is along -R vector 3 magnitude of acceleration vector is v2/R where v is the velocity of particle 4 magnitude of the velocity of particle is 8 m/sec

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The position vector of a particle $\to R$ as a function of time is given by $\to R = 4 sin (2 π t)^i + 4 cos (2 π t)^j$ , where $R$ is in meters, $t$ is in seconds and $^i a n d^j$ denote unit vectors along 'x' and 'y'-directions respectively. Which one of the following statements is wrong for the motion of particle?

Q. The position vector of a particle

\to R

as a function of time is given by

\to R = 4 sin (2 π t)^i + 4 cos (2 π t)^j

R

t

is in seconds and

ˆ i

ˆ j

denote unit vectors along 'x' and 'y'-directions respectively. Which one of the following statements is wrong for the motion of particle?

Q. The position vector of a particle

\to R

as a function of time is given by

\to R = 4 sin (2 π t)^i + 4 cos (2 π t)^j

Where R is in meters, t is in seconds and

^i

^j

denote unit vectors along x and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?

Q. A particle is moving with constant speed

V

in a circle of radius

r

. The average acceleration vector (taken over a full circle) is

Q. Position vector of a particle is given as

\to r = ⎛ ⎜ ⎝ \frac{4}{3} t^{\frac{3}{2}}^i - \frac{t^{2}}{2}^j + 2 t^k ⎞ ⎟ ⎠ m

. Magnitude of acceleration at

t = 1 sec

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