Advanced problem solving with real-life graphs

12 questions

1. This speed-time graph shows __________ rate of change between time and speed.
2. What speed is this vehicle travelling at after 10 seconds? ___ m/s
3. What distance has this vehicle travelled after 10 seconds? ___ m/s
4. Which equation generalises how far this vehicle has travelled after x seconds?
5. What is the y-coordinate at the point of intersection of the two linear equations y=2x-10 and y=-{1\over2}x+5 ? ___
6. What is the equation of the tangent to the circle at point A?
7. The __________ to a circle from an external point are equal in length.
8. What is the tangent to the circle at A?
9. Find the point of intersection of the tangents to the circle from points A and B.
10. Tangents from A and B meet at point C. To show that AC = BC we would use __________.
11. How far have these cars travelled between 0 and 6 seconds?
12. After how many seconds will car 'a' overtake car 'b'? ___ seconds.

License: OGL