V(m/s)
20m/s
5
10
t(s)
15
From the (V-t) graph find
A) The maximum Accelerations?
B) The total Displacement?
To find the maximum acceleration from the V-t graph, we need to look for the steepest slope. The steepest slope represents the greatest change in velocity over time, which corresponds to the greatest acceleration.
In this case, the steepest slope occurs between t = 0s and t = 5s. We can calculate the acceleration by finding the change in velocity divided by the change in time.
Acceleration = (Change in velocity) / (Change in time)
Acceleration = (20m/s - 0m/s) / (5s - 0s)
Acceleration = 20m/s / 5s
Acceleration = 4m/s^2
So the maximum acceleration is 4 m/s^2.
To find the total displacement from the V-t graph, we need to find the area under the V-t curve. Since the V-t graph represents velocity over time, the area under the curve represents the displacement.
In this case, we can break the area under the curve into two parts: a triangle and a rectangle.
The triangle has a base of 5 seconds and a height of 20 m/s. The area of a triangle is given by 1/2 * base * height.
Triangle area = 1/2 * 5s * 20m/s
Triangle area = 50m
The rectangle has a base of 10 seconds and a height of 20 m/s. The area of a rectangle is given by base * height.
Rectangle area = 10s * 20m/s
Rectangle area = 200m
The total displacement is the sum of the triangle area and the rectangle area.
Total displacement = Triangle area + Rectangle area
Total displacement = 50m + 200m
Total displacement = 250m
So the total displacement is 250 meters.