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Question: When a car driver travelling at speed 10m/s allies brake and bring the car to rest in 20 sec. then t...

When a car driver travelling at speed 10m/s allies brake and bring the car to rest in 20 sec. then the retardation will be?

Explanation

Solution

The rate of change of an object's velocity with respect to time is called acceleration in mechanics. Accelerations are values that are measured in vectors (in that they have magnitude and direction). The orientation of the net force applied on an item determines the orientation of its acceleration. The metre per second squared is the SI unit for acceleration. This is a notion that we utilise in this article.
a=(v−u)ta = \dfrac{{(v - u)}}{t}
Where
U (initial velocity)
V (final velocity)
t (time taken).

Complete answer:
The act or consequence of delaying; the degree to which something is delayed; that which retards or delays. Acceleration in the opposite direction of velocity is always referred to as deceleration. Deceleration usually slows you down. Negative acceleration, on the other hand, is acceleration in the opposite direction in the coordinate system of choice. Negative acceleration can be confused with slowdown, while deceleration can also be confused with negative acceleration. Deceleration is a term that refers to acceleration in the opposite direction. We know that acceleration refers to the pace at which an item accelerates; deceleration, on the other hand, refers to the rate at which an object slows down.
Now given
U (initial velocity) = 10 m/s
V (final velocity) = 0 m/s
t (time taken) = 20s
We know that
a=(v−u)ta = \dfrac{{(v - u)}}{t}
a=(0−10)20a = \dfrac{{(0 - 10)}}{{20}}
⇒a = − 0.5 ms−2\Rightarrow a{\text{ }} = {\text{ }}-{\text{ }}0.5{\text{ }}m{s^{ - 2}}
Retardation = 0.5 ms−20.5{\text{ }}m{s^{ - 2}}
Because it must be expressed as a magnitude with a direction, acceleration is a vector. Negative and positive signs are used to represent the direction of one-dimensional motion. As a result, if the indications are negative, the item is slowing down.

Note:
Acceleration and deceleration are the polar opposites of each other. The deceleration is calculated by multiplying the final velocity minus the beginning velocity by the time it takes for the velocity to decline. The deceleration value may be calculated using the acceleration formula with a negative sign.