Someone help me with this please?
2 answers:
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Answer:
a) it takes 4 seconds for the ball to hit the ground
b) 480 ft
c) 64 ft
Step-by-step explanation:
The parametric equation is
x(t) = 120t and y = 64t - 16t²
a) To find when the ball hits the ground, we use the y equation. The ball hits the ground at y = 0. Therefore:
t = 4 seconds,
Therefore, it takes 4 seconds for the ball to hit the ground
b) Since it takes 4 seconds for the ball to hit the ground, to find how far the ball would travel, we substitute t = 4 into x = 120t. Therefore:
x = 120(4) = 480
x = 480 ft
a) The maximum height of the ball is the vertex of the y equation.
The vertex occurs at t =
Substituting t = 2 in the y equation:
y = 64(2) - 16(2)² = 128 - 64 = 64 ft
y = 64 ft