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At the trampoline park, Lisa bounces upward with an initial velocity of 24feet per second. Therefore, Lisa's height above the trampoline in feet, t seconds after she jumps, can be modeled by the expression –16t2+24t. This expression can be written in factored form as –16t(t–1.5).What does the number 1.5 represent in the expression?

Question

At the trampoline park, Lisa bounces upward with an initial velocity of 24feet per second. Therefore, Lisa's height above the trampoline in feet, t seconds after she jumps, can be modeled by the expression –16t2+24t. This expression can be written in factored form as –16t(t–1.5).What does the number 1.5 represent in the expression?

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Solution

The number 1.5 in the expression represents the time in seconds when Lisa reaches her maximum height on the trampoline. This is because the expression -16t(t-1.5) equals zero when t equals 1.5, which is the peak of the parabolic trajectory of her jump.

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