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Vectors

A point trave...

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A point traversed half a circle of radius R=160cm during time interval t=10sec. Calculate the following quantities averaged over that time (a) the mean velocity (b) the modulus of mean velocity vector || (c) the modulus of the mean vector of the total acceleration ||

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Q. A point traversed half a circle of radius

r

during a time interval

t_{0}

its mean speed and magnitude of mean velocity are:

Q. A point traversed half a circle of radius

R = 160 c m

during time interval

τ = 10.0 s

. Calculate the average velocity.

A

moves along a circle of radius

R = 50 c m

so that its radius vector

r

relative to the point

O

(figure) rotates with the constant angular velocity

ω = 0.4 r a d / s

. Then modulus of the velocity of the particle, and the modulus of its total acceleration will be:

A

moves along a circle of radius

R = 50 c m

so that its radius vector

\to r

relative to the point

O

(shown in above figure) rotates with the constant angular velocity

ω = 0.40 r a d / s

. Find the modulus of the velocity of the particle, and the modulus of its total acceleration.

Q. A point traversed half of the distance with a velocity

v_{0}

. The remaining part of the distance was covered with velocity

v_{1}

for half the time and with velocity

v_{2}

for the other half of the time. The mean velocity of the point averaged over the whole time of motion

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