Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A cyclist speeds up steadily from rest to in , then rides at that speed for another . Find the total distance.
On a distance-time (or position-time) graph the slope is the velocity. On a velocity-time graph the slope is the acceleration and the area under the line is the distance.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Triangle. .
Step 2. Rectangle. .
Answer: .
Check. At for all she would go ; the slow start costs .
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