word problem

sop

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Aug 20, 2005
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If a projectile is fired at a 45 degree angle from a height of 50 feet with an initial velocity of 100 feet per second, then its altitude A in feet after t seconds is given by A(t)=-16t^2+[100/sqaure root of 2]t +50.

How long will the projectile travel above 60 feet of altitude?

How long will it take for it to hit the ground?

Note: Round the solutions (t) to the lowest integers to simplify.
 
sop said:
How long will the projectile travel above 60 feet of altitude?
Plug "60" in for "A". Solve for the two values of t. Subtract the smaller from the larger.

sop said:
How long will it take for it to hit the ground?
Plug "0" in for "A". Solve for the two values of t. Discard the smaller (starting-time) value.

Eliz.
 
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