A particle moving along a straight line with uniform acceleration has velocities 7m/a at A and 17m/s at C. B is the mid point of AC. Then (A) The velocity at B is 12ms (B) The average velocity between A and B is 10m/s (C) The ratio of the time to go from A to B to that from B To C is 3:2 (D) The average velocity between B and C is 15m/s
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Answer:
We know that v² - u² = 2as
17² - 7² = 2a * 2x
240 = 4ax
ax = 60
Now v'² - u² = 2ax
v'² = u² + 2ax
= 7² + 2ax
= 49 + 2 * 60
= 169
v' = 13 m/s
Now, v' = u + at1
or, 13 = 7 + at1
at1 = 6
Similarly, at2 = 17-13 = 4
Now, at1/at2 = 6/4
or, t1/t2 = 3/2 Answer.
hope it will help you....
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