Answer:
y +5 = -1/3(x -3)
Step-by-step explanation:
The slope of the given line is 3. The slope of the perpendicular line is the negative reciprocal of that, -1/3. Then the point-slope equation is ...
y -y1 = m(x -x1) . . . . line with slope m through point (x1, y1)
y -(-5) = -1/3(x -3)
y +5 = -1/3(x -3)
It will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet option third is correct.
<h3>What is the equation of motion?</h3>It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.
We have:
The height of the Sharon from the diving board = 18 feet
The initial upward velocity of the Sharon = 4 ft/s
The height of the Megan from the ground = 5 feet
The initial upward velocity of the beach ball = 16 ft/s
We know the equation of motion is given by:
Put x = 18 feet and u = 4 ft/s in the above equation, we get:
....(1) [g = 9.8 m/s²]
Put x = 5 feet and u = 16 ft/s in the equation of motion, we get:
....(2)
Equate the equation (1) and equation (2), we get
18 + 4t = 5 + 16t
12t = 13
t = 1.08 seconds
Thus, it will take 1.08 seconds for the ball to reach Sharon after she jumps if the upward velocity of the ball is 16 ft/s from a height of 5 feet.
Learn more about the equation of the motion here: