Soru
A projectile is launched from ground level with an initial velocity of y_(0) feel pen second. Neglecting sir resistance, its height in feel I seconds short tourch is given by s=-16t^2+v_(0)t Find the time(s) that the projectle will (8) reach a height of 80 it and (b) return to the ground when vo feel per swared. (a) Find the time(s)that the projectle will reach a height of 80 it; when v_(0)=96 leaf per second. Select the connect choice below and,if necessary, I'd in the answer box to complete your choice. (A) A. square seconds (Use a comma to separate answers at neededs OB. The projectile does not reach 50 feet.
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To find the time(s) that the projectile will reach a height of 80 feet, we need to solve the equation
for
when
.Given that
feet per second, we can substitute these values into the equation:
Rearranging the equation, we have:
This is a quadratic equation in the form of
, where
,
, and
. We can solve this equation using the quadratic formula:
Plugging in the values, we get:
Simplifying further, we have:
This gives us two possible solutions for
:
Therefore, the projectile will reach a height of 80 feet at
second and
seconds.So, the correct answer is (A) 1, 5 seconds.