(a) Light travels at 3 x 10 8 m/s, and it takes about 8 min for light from the s

Question

(a) Light travels at 3 x 108 m/s, and it takes about 8 min for light from the sun to travel to the earth. Based on this, find the distance from the sun to the earth.

(b)A particle moves from x0 = 40 cm to x = – 40 cm in 4 s. Find the average velocity of the particle during this time interval.

(c)A particle moves from x = 40 cm to x = 50 cm in 5 s in one location of its path. In another location it was found that the particle moved from x = 500 cm to x = 520 cm in 2 s. Is the particle accelerating? If so, find the acceleration if the particle took 4 s to get from first location to the next?

(d)The position of a particle is given by x = C2t2, where C is a constant and t is the time-variable. Find the velocity and acceleration of the particle.

Explanation / Answer

a) We have:

L = c t= (3×10^8)(8×60) = 1.44×10^11 m

b)v = xf-xi/t = (-0.4-0.4)/4 = -0.2 m/s

c) we calculate the first velocity

v1 = (0.5-0.4)/5 = 0.02 m/s

second velocity:

v2 = (5.20-5.00)/2 = 0.1 m/s

the particle is accelerating

the acceleration is:

a = v2-v1/t = 0.02m/s^2

d) v = 2ct

a = 2c

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