Acceleration 50
40
10
Speed (m/s)
20
10
Time (s)
Here ia a graph of speed vs time. If the object is moving to the east, which BEST
describes the speed and velocity of the graph?
The speed is constant and velocity is changing.
The speed is constant and velocity is changing.
Both speed and velocity are changing.
The speed and velocity remain constant.

Explanation:

The graph shows that the speed is changing. This is because as we move to the right, the curve goes uphill. Therefore, the speed is increasing over time.

Recall that the velocity is nearly identical to the speed, but with one important addition: the velocity also accounts for direction.

So the car has a speed of 30 m/s at time 5 hours, and its velocity is 30 m/s east. We simply state the direction after the speed value to form the velocity.

Because the velocity is dependent on the speed, this means any changes of speed will change the velocity.

Ultimately, both speed and velocity are changing.

Side note: it is possible to have a constant speed but changing velocity. Consider a car going in circles at the same constant speed. Despite its speed being the same, the direction of said speed is changing which will make the velocity change as well.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4