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To avoid a sand trap, a golfer hits a ball so that its height is represented by the equation , where is the height measured in feet and is the time measured in seconds.  

  1. When does the ball land on the ground?

    Substitute for to find how long it takes for the ball to land on the ground.

    Solve by factoring.

    represents when the ball was on the ground before it started flight; therefore, it took seconds for it to land after its flight.

  1. What is the maximum height of the ball during its flight?

    Assume that the ball would be highest exactly halfway through its flight.
    Knowing this information, substitute half of the total time it took the ball to land for and solve for .

Use the eTool below help you with this problem.
Click on the link at right for the full eTool version: 10-41 HW eTool (Desmos)