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Use the graph to answer the question.

A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 5, velocity in meters per second on the y axis, numbered 0 to 70. A line starts at (0 s, 10 meters per second) and ends at (5 s, 60 meters per second).

What is the total displacement of the object after 5 seconds?



m

2 Answers

1 vote

Based on the provided Velocity vs Time graph:

  • The velocity starts at 10 meters per second at 0 seconds
  • The velocity increases linearly to 60 meters per second at 5 seconds

Since displacement is the area under the velocity vs time graph, we can calculate the total displacement after 5 seconds as follows:

Find the average velocity over the 5 seconds:

(Final velocity + Initial velocity)/2

(60 + 10)/2 = 35 meters per second

The average velocity of 35 meters per second over 5 seconds gives a

total displacement of:

Displacement = Velocity * Time

= 35 meters/sec * 5 sec

= 175 meters

Therefore, according to the graph, the total displacement of the object after 5 seconds is 175 meters.

User Nsdel
by
8.2k points
3 votes

Step-by-step explanation:

I will assume it is a STRAIGHT line...

The AREA under the graph is the displacement

The area of the graph is a trapezoid...

area = 5 s x (70 + 60)/2 m/s = 5 x 65 = 325 m

User Campbeln
by
8.0k points

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