The blades on a model windmill take 4 seconds to make a full rotation. At the lowest point, the tip of the blade is 0.5 m off the ground, and at the highest point the tip of the blade is 2.5 m off the ground.

Determine an algebraic equation relating the height (h) in metres of the tip of the blade above the ground at time (t) in seconds.

Sketch a graph of height against time to show the distance between the tip of the blade and the ground for two complete rotations. At time zero, the blade is pointing straight down (closest to the ground). Clearly label the scale on both axes.

Question

The blades on a model windmill take 4 seconds to make a full rotation. At the lowest point, the tip of the blade is 0.5 m off the ground, and at the highest point the tip of the blade is 2.5 m off the ground.

Determine an algebraic equation relating the height (h) in metres of the tip of the blade above the ground at time (t) in seconds.

Sketch a graph of height against time to show the distance between the tip of the blade and the ground for two complete rotations. At time zero, the blade is pointing straight down (closest to the ground). Clearly label the scale on both axes.