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Answer :
Solving quadratic equation 16 t² -60t -100=0 formed by Projectile Motion Formula and given conditions it is found that it takes t = 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
What is a quadratic equation?
Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by
ax²+bx+c =0, where a, b, c are constants and a≠0
We can solve this equation by factorizing ax²+bx+c and putting those factors equal to zero to solve for x.
Projectile Motion Formula h = -16 t² + v t + s,
where t = time in seconds
h = height of the projectile
v = initial velocity
s= starting height of fall
Given s = 1000 feet, v= 60 feet per second, h = 900 ft
And t we have to find.
Projectile motion equation becomes:
900 = -16 t² + 60 t + 1000
⇒16 t² -60t + 900-1000=0
⇒16 t² -60t -100=0, which is a quadratic equation in variable t
Factorizing this quadratic equation
⇒ 16t² - 80t + 20t -100 =0
⇒16t(t -5) + 20( t - 5 ) =0
⇒ (16t +20) ( t-5)=0
Putting these factors equal to zero
16t +20 =0 ⇒ t = -20/16, which is neglected as time cannot be negative.
t-5 = 0⇒ t =5
Therefore it takes 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.
Also, Learn more about the quadratic equations from the link below:
brainly.com/question/17177510
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Rewritten by : Barada
Answer:It will take 5 sec for a parachute to open.I did it on a piece of paper for u to show u more information
Step-by-step explanation:
