Question

Ross is studying the rate of change in the velocity of a remote controlled car he notices that the velocity of the car is increasing at a constant rate which graph shows the fastest rate of change in the velocity of of Ross’s car

Answer 1

Given:

Ross is studying the rate of change in the velocity of a remote controlled car he notices that the velocity of the car is increasing at a constant rate.

To find:

Graph representing the fastest rate of change of velocity of car.

Calculation:

Instantaneous rate of change of velocity with respect to time is referred to as Acceleration. It is calculated by the following method :

• Acceleration is represented as the slope of the velocity-time graph.

This means that higher the slope of the graph (steeper graph) , higher will be the acceleration. This in turn means that the rate of change of velocity will be more.

$\boxed{ \sf{acceleration = \dfrac{dv}{dt} = slope \: of \: graph}}$

Among the graphs , graph A will have maximum rate of change of velocity because the graph is most steep (max slope)

Answer 2

Step-by-step explanation:

Given:

Ross is studying the rate of change in the velocity of a remote controlled car he notices that the velocity of the car is increasing at a constant rate.

To find:

Graph representing the fastest rate of change of velocity of car.

Calculation:

Instantaneous rate of change of velocity with respect to time is referred to as Acceleration. It is calculated by the following method :

Acceleration is represented as the slope of the velocity-time graph.

This means that higher the slope of the graph (steeper graph) , higher will be the acceleration. This in turn means that the rate of change of velocity will be more.

\boxed{ \sf{acceleration = \dfrac{dv}{dt} = slope \: of \: graph}}

acceleration=

dt

dv

=slopeofgraph

Among the graphs , graph A will have maximum rate of change of velocity because the graph is most steep (max slope)