At one instant of time, a car and a truck are traveling side by side in adjacent lanes of a highway. The car has a greater velocity than the truck has. Does the car necessarily have the greater acceleration?
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Answer:
No.
Explanation:
Suppose this straight-path condition, and let at time t velocity of truck is a m/s whereas at the same instant speed of car be b m/s. ( where b > a ).
Let after d seconds their speed increases by x( amount ).
Now, speed of truck is a + x and speed of car is b + x.
Acceleration of car is ( final velocity - initial velocity ) / time take => { ( b + x ) - b } / d => b
x / d.
Acceleration of truck is { ( a + x ) - a } / d => x / d.
In both the conditions acceleration is same.
Although the acceleration can be greater and smaller too, but this is enough to say that greater acceleration of car is not necessary .
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