SOLUTION: 4. How far does a ball, hit from a height of 3 feet at a speed of 120 feet per second and an angle of 30 degrees, go before it hits the ground? Round your answer to the nearest int
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Question 971350: 4. How far does a ball, hit from a height of 3 feet at a speed of 120 feet per second and an angle of 30 degrees, go before it hits the ground? Round your answer to the nearest integer?
X=(V cos() )t
Y= h+(V sin () )t-16t^2
V IS INITIAL VELOCITY. ()= number for degree
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= initial height of the ball above the ground (in feet)
= initial ball speed (in feet per second)
= acceleration of gravity
= initial angle of the ball trajectory with the horizontal ground
= time the ball is in the air (in seconds)
= horizontal displacement of the ball (in feet)
= height of the ball above the horizontal ground (in feet)
When the ball hits the horizontal ground, . Then,
, and substituting the known values,
--->--->--->
The solution to that quadratic equation that makes sense for this situation is
,
because the other solution is negative
Plugging that value for ,
and the known values for and into
we get
--->
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