Answer:
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Step-by-step explanation:
Let us take the point of projection of the ball as origin of the coordinate system, the upward direction as positive and down direction as negative.
Initial velocity u with which the ball is projected upwards = + 120 ft/s
Uniform acceleration a acting on the ball is to acceleration due to gravity = - 32 ft/s²
The ball shall keep rising tills its velocity becomes zero. Let it rise to a height h feet from point of projection.
Using the formula:
v² - u² = 2 a h,
where
u = initial velocity of the ball = +120 ft/s
v = final velocity of the ball at the highest point = 0 ft/s
a = uniform acceleration acting on the ball = -32 ft/s²
h = height attained
Substituting the values we get;
0² - 120² = 2 × (- 32) h
=> h = 120²/2 × 32 = 225 feet
The height of the ball from the ground at its highest point = 225 feet + 12 feet = 237 feet.
Hello :))
82 x 12 = 984
Hope this helps!
Answer:
Given: The transformation g(x) =6f(x) ......[1]
To find the corresponding values of g(x) for the given transformation.
At x = -7, f(x) = 8
then,
By substituting the value of f(x) = 8 in [1] we have

Similarly,
For x= -3 , f(x) = 3, then
By substituting the value of f(x) = 3 in [1] we have
For x= 0, f(x) = -1 , then
By substituting the value of f(x) = -1 in [1] we have
For x= 2, f(x) = 7, then
By substituting the value of f(x) = 7 in [1] we have

For x= 10, f(x) = 5, then
By substituting the value of f(x) = 5 in [1] we have

Therefore ; we have the corresponding values of g(x) as shown below;
x f(x) g(x)
-7 8 48
-3 3 18
0 -1 -6
2 7 42
10 5 30
Answer: You can watch 14 vines.
Step-by-step explanation: 1 2/5 is equal to 1 4/10
1 4/10 is equal to 14/10
So the amount of vines you could watch is 14 in 1 minute and 24 seconds.