Answer:
Step-by-step explanation:
Given:
The function 'g(x)' is given as:
Now, the function 'f(x)' is given as:
So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by in the 'g(x)' function equation. This gives,
Using the identity , we get:
Hence the function f(x) is given as:
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
Where g is the acceleration of gravity
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
Substituting:
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
is slope-intercept form, which is a way of writing an equation for a line.
In this equation, represents the slope and
represents the y-intercept.
and
are the coordinates of a point on the resulting line.
Here are some examples: