two cars A and B are approaching Each Other head on with speed 20 metre per second and 10 metre per second respectively their separation is X then A and B start breaking at 4 metre per second square into metre per second square respectively minimum value of X to avoid collision is
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38
Dear Students,
● Answer -
X = 62.5 m
◆ Explanation -
Let s1 & s2 be stopping distances for car A & car B respectively.
Applying Newton's 3rd law of kinematics to car A,
v1² = u1² + 2as
0 = 20² + 2×(-4) × s
s1 = 400 / 8
s1 = 50 m
Applying Newton's 3rd law of kinematics to car B,
v2² = u2² + 2as
0 = 10² + 2×(-4) × s
s2 = 100 / 8
s2 = 12.5 m
Therefore, minimum separation between cars at the time of breaking is -
X = s1 + s2
X = 50 + 12.5
X = 62.5 m
Hope I was useful..
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