1) A car is initially moving at 35 m/s is accelerated at 4.0 m/s2 for a period of 7s. The car then travels with the speed after 7s for another 10s. What is the average speed of the car for the 17 s period?
a. 63 m/s
b. 57 m/s
c. 49 m/s
d. 35 m/s
V = u +at = 35 + (4 x 7) = 63 m/s
average velocity = total dislacement / total time
for 1st 7 sec
S = ut +1/2 at^2 = (35 x 7) + (1/2 x 4 x 7^2) = 343 m
for 10 sec
S = ut + 1/2 at^2 = ut + 0 = 63 x 10 = 630 m
Now
average velocity = (630 + 343) / 17 = 57 m/s (option b)
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