Question

A motion detector detected that a toy car covered 2 m at a constant speed of 0.25 m/s. Sketchthe graph to represent the motion of an obiect.

Answer 1

Step-by-step explanation

the function for the distance is given by

`\text{distance}=\text{ sp}eed\cdot time\text{ }`

then, let

speed= 0.25 m/s

time= t

distance= 2m

hence, replace

`\begin{gathered} \text{distance}=\text{ sp}eed\cdot time\text{ } \\ \text{distance}=0.25(m)/(s)\cdot t \\ d(t)=0.25t\Rightarrow equation\text{ of the line} \end{gathered}`

Step 2

now, to graph the line we need 2 points

a) when t= 0

`\begin{gathered} d(t)=0.25t\Rightarrow equation\text{ of the line} \\ d(0)=0.25\cdot0 \\ d(0)=0 \\ so \\ \text{coordinate 1(0,0)} \end{gathered}`

P1(0,0)

b) when the car has covered 2m

let d=2

replace and solve for x

`\begin{gathered} d(t)=0.25t\Rightarrow equation\text{ of the line} \\ 2=0.25t \\ \text{divide both sides by 0.25} \\ (2)/(0.25)=(0.25t)/(0.25) \\ 8=t \\ \text{hence, after 8 seconds, the distance is 2 m, so the coordinate is} \\ (8,2) \end{gathered}`

P2(8,2)

finally, draw a line that passes through the point P1(0,0) and P2(8,2)

I hope this helps you