a car starts from rest and attains a velocity of meter/sec,then acceleration changes and it aquires the velocity of 20meter/sec in next 5sec .then it slows down and comes to rest in next 5sec.draw a velocity-time graph for the given conditions,and find acceleration of 3 given conditions seperatly.
To draw the velocity-time graph for the given conditions, let's break down the problem into three parts:
1. From rest to the velocity of the car.
2. From the velocity of the car to 20 meters/second.
3. From 20 meters/second to rest.
1. From rest to the velocity of the car:
- The car starts from rest, so the initial velocity is 0 m/s.
- The final velocity is given, let's say it is V1 m/s.
2. From the velocity of the car to 20 meters/second:
- The initial velocity for this segment is V1 m/s.
- The car acquires a velocity of 20 m/s after 5 seconds, so the final velocity is 20 m/s.
3. From 20 meters/second to rest:
- The initial velocity is 20 m/s.
- The car comes to rest, so the final velocity is 0 m/s.
Now let's calculate the acceleration for each segment:
1. From rest to the velocity of the car:
- The initial velocity is 0 m/s, and the final velocity is V1 m/s.
- The time it takes to reach the final velocity is unknown, so we cannot calculate the acceleration for this segment without more information.
2. From the velocity of the car to 20 meters/second:
- The initial velocity is V1 m/s, and the final velocity is 20 m/s.
- The time it takes to reach the final velocity is 5 seconds.
- Using the formula: acceleration = change in velocity / time, we can calculate the acceleration for this segment as (20 - V1) / 5 m/s^2.
3. From 20 meters/second to rest:
- The initial velocity is 20 m/s, and the final velocity is 0 m/s.
- The time it takes to reach the final velocity is 5 seconds.
- Using the same formula: acceleration = change in velocity / time, we can calculate the acceleration for this segment as (0 - 20) / 5 m/s^2.
As for drawing the velocity-time graph, you can draw a horizontal line at 0 m/s for the initial rest segment, then a line with a constant positive slope representing the second segment, and finally, a line with a constant negative slope for the third segment, intersecting the x-axis at 5 seconds indicating the time when the car comes to rest.
Note: The graph can only be accurately plotted if the value of V1 is known for the first segment.