1) A baseball diamond is a square with a wide length of 90ft. A batter hits the ball and runs toward first base with a speed of 24ft/sec.
-After 2 seconds, what is the distance between the runner and second base? What about third base?
-At what time will the distance between the runner and second base be 100ft? What about third base?
2) Jake and Josh are standing on the northern most point of a circular track 100cm in diameter. Starting at the same time, suppose Jake runs clockwise at a rate of 1cm/s and Josh runs counterclockwise at a rate of 2cm/s.
-How long until the boys are 100cm apart?
3) Jake, Josh and Jesse are standing in the center of a table. At the same time, Jake heads north at a rate of 1cm/s, Josh heads west at a rate of 2cm/s and Jesse heads south-east at a rate of 1.5cm/s.
-What is the area of the triangle formed by their positions after 2 seconds? What is the peremeter?
-How long until the area of the triangle formed by their positions is 10cm^2? How long until the peremeter is 10cm?