the position-time graph of an object is shown below. what is the velocity of the object when time t = 2.5 seconds

2 m/s

Step-by-step explanation:

The position time graph shown above has position or distance on the vertical axis and time on the horizontal axis. The unit of the distance is in metes and the unit of the time is in seconds.

Distance = velocity / time

Time = distance × time

From the graph, the slope at any point determines the velocity of the object at that point.

Slope =( y2 -y1)/ ( x2 -x1)

y2 = 5(corresponding to the point on the vertical axis where t = 2.5 on the horizontal meets the plotted line when traced along the vertical axis)

y 1 = 0 (initial distance)

x2 = 2.5( on the horizontal axis)

x1 = 0(initial time)

Velocity = slope = (5-0)/2.5-0)= 5/2.5

= 2 m/s

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: