A teddy bear is shot out of a stunt cannon and follows a parabolic path given by the equation y = 20x - (x^2/2), where x and y are measured in metres. A ramp with a gradient of 0.5 begins at the canon and extends underneath the path of flight.
i) How high off the ground is the teddy bear at the highest point of its flight?
ii) The teddy bear lands on the ramp. How high off the ground is the teddy bear when it lands?

Question

A teddy bear is shot out of a stunt cannon and follows a parabolic path given by the equation y = 20x - (x^2/2), where x and y are measured in metres. A ramp with a gradient of 0.5 begins at the canon and extends underneath the path of flight. 
i) How high off the ground is the teddy bear at the highest point of its flight? 
ii) The teddy bear lands on the ramp. How high off the ground is the teddy bear when it lands?

anonymous · Answer

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