SOLUTION: Travis and Laura are rock climbing. Travis throws a spike to Laura. The function h(t)=-5t^2+20t+110 models he height of the spike in metres above the ground at time t. Laura is 135
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-> SOLUTION: Travis and Laura are rock climbing. Travis throws a spike to Laura. The function h(t)=-5t^2+20t+110 models he height of the spike in metres above the ground at time t. Laura is 135
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Question 1137554: Travis and Laura are rock climbing. Travis throws a spike to Laura. The function h(t)=-5t^2+20t+110 models he height of the spike in metres above the ground at time t. Laura is 135 m above the ground. Did Travis’ throw reach Laura? Explain your answer.
It is about the maximum value of a quadratic function.
The quadratic function f(x) = ax^2 + bx + c of the general form with the negative leading coefficient a < 0
has the maximum value at x = .
In this case, the maximum height is achieved at t = = = 2 seconds. ANSWER
The maximum height the spike will achieve is equal to the value of the given function h(t) at t= 2 :
= = -20 + 40 + 110 = 130 meters.
Hence, it will not achieve Laura. ANSWER
