Question

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?

Answer 1

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 .