Question

The graph shows two objects moving at a constant speed. Find the speed of object A in meters per second.

A) 1 m/s
B) 2 m/s
C) 3 m/s
D) 4 m/s

Which moving object has a greater unit rate, Object A or Object B? Explain your choice.

A) Object A has a greater unit rate because it covers a longer distance.
B) Object B has a greater unit rate because it covers a longer distance.
C) Object A and Object B have the same unit rate.
D) It's impossible to determine the unit rate from the given information.

Answer 1

The speeds of objects A and B are 3 m/s and 2 m/s, respectively.

Correct option: c) 3 m/s and 2 m/s

This correct answer is c)

Step-by-step explanation:

Let's denote the speeds of A and B as vA and vB respectively.

When they move toward each other, the relative speed is the sum of their speeds:

vA+vB=5m/s

When they move in the same direction, the relative speed is the difference of their speeds:

vA−vB=1m/s

Now, we can set up a system of equations:

vA+vB=5

vA−vB=1

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By solving this system, we can find the values of vA and vB.

Adding the two equations:

(vA+vB)+(vA−vB)=5+1

2vA=6

vA =3m/s

Substitute vA=3 into one of the original equations (let's use the first one):

3+vB=5

vB=2m/s

So, the speeds of A and B are respectively 3 m/s and 2 m/s.

Therefore, the correct option is:

c) 3 m/s and 2 m/s

Your correct question is: When two objects A and B move with uniform speeds toward each other along a straight line, they get 5 m closer to each other every second. If they move in the same direction along a straight line with the original speeds they get 1 m closer to each other every second.

The speeds of A and B are respectively

a) 5 m/s and 4 m/s

b) 5 m/s and 10 m/s

c) 3 m/s and 2 m/s

d) 3 m/s and 1 m/s

e) 2 m/s and 1 m/s

This correct answer is c)