A car is initially at rest on a straight road. The histogram below shows the car's acceleration along that road as a function of time.
1. Calculate the speed of the car at t = 4 s.
2. Calculate the distance traveled during the first 5 s.
3. Calculate the distance traveled from t=10 s to t=14 s.
4. Calculate the car's average speed from t = 5 s to t=9 s.
The area under the a-t graph is the change in the object's velocity. This problem involves very simple areas to calculate (rectangles and squares). You can then use this information to construct a v-t graph; the area under the v-t plot is the displacement (these areas will be rectangles and triangles).
Another option is to find the velocity at each time the acceleration changes; then use the velocity at the start of the interval and the velocity at the end of the interval to calculate the average velocity over each interval in which the acceleration is constant. The displacement over this interval is just the average velocity*time interval. You will need to find the displacement separately for each value of constant acceleration within your given time frame, the total displacement is just the sum of the individual displacements.
The average speed over a time interval can be calculated if you know the total distance traveled over that interval. Average speed=total distance/time interval.
V(1)= V(0) + acceleration*time
V(2)= V(1) + acceleration*time
The Attempt at a Solution
I don't even know where to start. This online class is killing me. Any input will be helpful.