The answer is 39.2 m/s
We need the velocity of the rock as it reaches the ground, and it is its final velocity. Since it is the free fall, we also must take into consideration gravitational acceleration (a). Therefore, the formula for the final velocity (v2) is:
v2 = v1 + at
v2 - the final velocity
v1 - the initial velocity
a - gravitational acceleration
t - time
As you can see, the distance in this case is not relevant.
It is known:
v1 = 0 m/s (since it was dropped)
a = 9.8 m/s²
t = 4 s
Therefore, the velocity of the rock as it reaches the ground (v2) is:
v2 = 0 + 9.8 · 4 = 39.2 m/s
The equation is a third-degree polynomial. The only way to know its trend is to graph it. 'F(x)' means a function of x. This could be any variable (suppose it's y). Assign values for x, you get their corresponding values of y, then plot x against y. The graph is shown in the picture. As you can observe, the answer should be letter D.
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
Answer:
Step-by-step explanation:
Here is the workings
2x+4y+6+2y-5+3x combine like terms
2x+3x+4y+2y+6-5
Step 2
2x+3x+4y+2y+6-5 Add the similar exponents
5x+4y+2y+6-5
5x+6y+6-5
Step 3
5x+6y+6-5 Add and subtract
Your answer would be 5x+6y+1
Answer:
28*3(x)
Step-by-step explanation:
The product of 7 and 4 is 28.
Times a number multiplied by three is the number 28 multiplied with 3x.