Ryan throws a tennis ball straight up into the air. the ball reaches its maximum height at 2 seconds. the approximate height of the ball x seconds after being thrown is shown in the table.

which equation models the motion of the ball?
y = –17(x)(x – 4)
y = –16(x)(x – 4)
y = –16(x – 2)2 + 68
y = –17(x – 2)2 + 68

the answer is C

Step-by-step explanation:

C

Step-by-step explanation:

The equation for a ball thrown straight up is

y = v₀t - 0.5gt²

We don't know the initial velocity of the ball. We use the given condition from the problem that the maximum height was achieve after t = 2

y = 2v₀ - 19.62

v₀ = 0.5y + 9.81

Substituting, factoring, and replacing t with x, the result is:

y = –16(x – 2)^2 + 68

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,