13.) A toy rocket is launched from a 4-foot pedestal. The situation can be modeled by the function h = -2t² + 7t + 4. How long will it take the rocket to land on the ground? T is the time in seconds and h is the height in feet at any given time. Provide your claim, evidence and reasoning.
13.) A toy rocket is launched from a 4-foot pedestal. The situation can be modeled by the function h = -2t² + 7t + 4. How long will it take the rocket to land on the ground? T is the time in seconds and h is the height in feet at any given time. Provide your claim, evidence and reasoning.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What is being plugged in for this problem. Read the problem carefully. T is the time in second and h is the height in feet at any given time. S is the initial height.
Transcribed Image Text:13.) A toy rocket is launched from a 4-foot pedestal. The situation can be modeled by the
function h = -2t² + 7t + 4. How long will it take the rocket to land on the ground? T is the time in
seconds and h is the height in feet at any given time. Provide your claim, evidence and
reasoning.
S=4
h=-2t^2+7t+4
h(t)=0
Factor
GCF? 1
-2t^2+7t+4=0
-1(2t^2-7t-4)=0
-1(2t+1)(t-4)=0
2t+1=0
-1 -1
2t=-1
2
2
t=-1/2
t-4=0
+4 +4
t=4
Claim: It will take the toy rocket 4 seconds to land on the ground. I inserted h=0 into the projectile
motion formula. Since I am calculating the entire time spent in the air, the equation is equal to zero.
I factored out the GCF and then I used the reverse tabular method to factor the trinomial. Since time
cannot be negative, only one of my two answers can be right.
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