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4. A particle’s position coordinates (x, y) are (2.0 m, 3.0 m) at t = 0; (6.0 m, 7.0 m) at t = 2.0
s; and (13 m, 14 m) at t = 5.0 s. (a) Find the magnitude of the average velocity from t = 0
to t = 2.0 s. (b) Find the magnitude of the average velocity from t = 0 to t = 5.0 s.
5. (i) Discuss your understanding about symmetric and non-symmetric projectile motion, give
some examples. (ii) Discuss your understanding about uniform and non-uniform circular
motions; give some examples.
6. A wall clock has a minute hand with a length of 0.50 m and an hour hand with a length of
0.25 m. What is the magnitude of the acceleration of the tip of the minute and hour hand
of the clock? Express it as a fraction of the magnitude of free-fall acceleration g.
7. Earth rotates on its axis once every 24 hours, so that objects on its surface that are stationary
with respect to the surface execute uniform circular motion about the axis with a period of
24 hours. Consider only the effect of this rotation on the person on the surface. (Ignore
Earth’s orbital motion about the Sun.) (a) What is the speed and what is the magnitude of
the acceleration of a person standing on the equator? (Express the magnitude of this
acceleration as a percentage of g.) (b) What is the direction of the acceleration vector? (c)
What is the speed and what is the magnitude of the centripetal acceleration of a person
standing on the surface at 35°N latitude? (d) What is the angle between the direction of the
acceleration of the person at 35°N latitude and the direction of the acceleration of the
person at the equator if both persons are at the same longitude?
