Question

The graph given below shows how the velocity of a car changes with time. By analyzing the graph answer the following questions a. Name the graph. b. What is the initial velocity of the car? c. What is the maximum velocity attained by the car? d. Which parts of the graph show zero acceleration?

Answer 1

Solution:

The graph given in the attachment shows how the velocity of a car changes with time. By analyzing the graph answer the following questions:

a. Name the graph.

Answer: The given graph is a velocity time graph that is v-t graph and velocity time graph is also known as speed time graph.

b. What is the initial velocity of the car?

Explanation: Initial velocity is also known as starting velocity.

Answer: 0 metre per second is the initial velocity of car as the car starts from this speed.

c. What is the maximum velocity attained by the car?

Answer: 105 metre per second is the maximum velocity attained by the car.

d. Which parts of the graph show zero acceleration?

Answer: Section BC and DE shows the zero acceleration in the graph as the velocity be constant.

Explanation: When velocity is constant then acceleration is 0 in velocity time graph. And when the slope of the graph is parallel to the time axis then the acceleration must be zero.

More information:

Difference between distance and displacement

$\begin{gathered}\boxed{\begin{array}{c|cc}\bf Distance&\bf Displacement\\\frac{\qquad \qquad \qquad\qquad\qquad \qquad\qquad\qquad}{}&\frac{\qquad \qquad \qquad\qquad\qquad \qquad\qquad\qquad}{}\\\sf Path \: of \: length \: from \: which &\sf The \: shortest \: distance \: between \\ \sf \: object \: is \: travelling \: called \: distance. &\sf \: the \: initial \: point \: \& \: final \\ &\sf point \: is \: called \: displacement. \\\\\sf It \: is \: scalar \: quantity. &\sf It \: is \: vector \: quantity \\\\\sf It \: is \: positive \: always &\sf It \: can \: be \: \pm \: \& \: 0 \: too \end{array}}\end{gathered}$

Learn more:

↪️ The slope of D-T graph gives the _____ of the object in motion.

• The slope of Distance Time or Displacement Time graph give the speed of the object in motion.

↪️ Distance or displacement are same in the matter of graphs in motion

↪️ Speed and Velocity are same in the matter of graphs in motion

↪️ The slope of V-T graph gives the _____ of the object in motion.

• The slope of Velocity Time graph give the acceleration of the object in motion.

↪️ The area under curve of V-T graph gives the _____ of the object in motion.

• The area under curve of Velocity Time graph gives the distance/displacement of the object in motion.

Additional information:

• In a velocity time graph, the slope of graph tell us about the acceleration. If the slope is high then the acceleration is positive, if the solve is low then the acceleration is negative and if the slope is parallel to time axis then there is no acceleration taking place!

• In the velocity time graph the distance or displacement can be founded by the area under the curve!