
Concept explainers
The position time graph for the car and truck for time

Explanation of Solution
Given info:
Car is at rest at time
Car is accelerating constantly at
At time
Formula used:
Formula to find the distance travelled in term of velocity and time is,
Another formula to find the distance travelled in term of speed and acceleration is,
Here,
To draw a position versus time graph we have to draw a table showing position of car from time
Find the position of car:
As car is starting from rest its initial velocity is zero. Finding the position of car using equation-2.
By changing the value of time in equation-3 from
Time | |||||||
Position of car ( ) |
Find the position of truck using equation-1.
By changing the value of time in equation-4 from
Time | |||||||
Position of car ( ) |
We draw position time graph by taking value of time on x-axis and position on y-axis.
The shape of position time graph for car is curve and for truck is a straight line.
Graph shows car is accreting from rest and truck is moving with constant velocity.
Conclusion:
Thus,the shape of position time graph for car is curve and for truck is straight line.
Graph shows car is accreting from rest and truck is moving with constant velocity.
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