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Answer:
7) u+v/2
8) 1 miles
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7. v = u + at
The first equation of motion conveys, “Acceleration is the rate of change of velocity”. If 'u' is the initial velocity of an object, 'v' is the final velocity attained by the object after 't' seconds of time, then acceleration 'a' is given by:
a = Change in velocity/Time taken
⇒ a = (Final velocity - Initial velocity)/Time taken
⇒a = (v-u)/t
⇒at = (v-u)
⇒ v = u+at
8. 1 mile
S →____←__ Initial position __→__ N
2 miles 1 mile
|____________________________|
3 miles
Displacement is the shortest length between the initial position and the final position. So, the displacement here is :-
3 - 2 = 1 mile
(Here, she runs 2 miles South, then moves 3 miles towards North. This means, she covered those 2 miles again and covered an extra 1 mile, which is the overall displacement.)