201k views
2 votes
Need help with questions a and b please try to explain in the simple definition I am in year 9

Need help with questions a and b please try to explain in the simple definition I-example-1
User Boardy
by
8.2k points

1 Answer

4 votes

Answer:

a) 130 m

b) -1.25 m/s²

Step-by-step explanation:

Part a)

The total distance traveled on the cycle is equal to the area under the velocity-time graph.

This is the area of a trapezoid where the bases are 20 and 6 and the height is 10.

Then, the area is equal to:


\begin{gathered} \text{Area = }\frac{base_1+\text{base}_2}{2}*\text{height} \\ \text{Area = }(20+6)/(2)*10 \\ \text{Area}=(26)/(2)*10 \\ \text{Area = 13x10 = 130} \end{gathered}

Therefore, the total distance traveled on the cycle is 130 meters.

Part b)

The acceleration in the last 8 seconds is equal to the slope of the line in the last 8 seconds.

The slope can be calculated using two points of the line (t1, v1) and (t2, v2) as follows


\text{slope}=(v_2-v_1)/(t_2-t_1)

So, replacing (t1, v1) by (12, 10) and (t2, v2) by (20, 0), we get:


\text{slope}=\text{ }(0-10)/(20-12)=(-10)/(8)=-1.25

Therefore, the acceleration in the last 8 seconds is -1.25 m/s²

Need help with questions a and b please try to explain in the simple definition I-example-1
User Gugoan
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories