an object starting from rest travels 20m in first 2s and 100m in next 4s what will be the velocity after 7s from the start
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Answer:
Step-by-step explanation:
Given
Intial velocity =0m/s
Distance travelled =20m
time =2sec
From second equation of motion:
S=ut + 1/2 at²
20= 0×2+ 1/2a 2²
20=0+1/2a × 4
20=2a
a=10m/s²
velocity at the end of 2sec:
V=u+at
V=0+10*2
V=20m/s
After 4sec, it covers a distance of 100m
so,
100=20*4+1/2(a¹)4²
100=80+2a
2a¹=20
a¹=10m/s²
It shows acceleration is uniform.
So, velocity at end of 7 sec from start:
V=u+at
= 0 + 10*7
=70m/s
∴the velocity after 7 sec from the start is 70m/s
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