The velocity of a boy is 3ms after 5hrs it increases to 8ms and it gets half the acceleration of him find the boy speed and time taken to stay and displacement and even his distance covered
The velocity of a boy is 3ms after 5hrs it increases to 8ms and it gets half the acceleration of him find the boy speed and time taken to stay and displacement and even his distance covered
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Answer:
Avg speed × total times = total distance
20×25=500
Since acceleration in the 1st interval is same as deceleration in the 3rd interval and deceleration is from the same velocity achieved after acceleration, t
1
=t
3
s
1
=
2
1
×5t
1
2
s
2
=(5t
1
)t
2
s
3
=(5t
1
)×t
3
−
2
1
×5×t
1
2
=(5t
1
)×t
1
−
2
1
×5×t
1
2
s
1
+s
2
+s
3
=5t
1
t
2
+5t
1
2
⇒5t
1
2
+5t
1
t
2
=500−−−−1
2t
1
+t
2
=25−−−−2
Solving (1 ) and (2) ⇒t
1
=5,t
2
=15sec