The graph below represents the journey of a cyclist. (a) Name an instrument that could be used to measure the time taken for the journey. $$ \qquad $$ stopwatch (b) Calculate the average speed of the cyclist as he travelled from point $$ \mathbf{A} $$ to point $$ \mathbf{B} $$. Calculation

Question

UpStudy AI · Accepted Answer

**(a)** A stopwatch

**(b)**  
1. Let the distance covered from point $$ \mathbf{A} $$ to point $$ \mathbf{B} $$ be $$\Delta d$$ and the time taken be $$\Delta t$$.  
2. The average speed, $$ v_{\text{avg}} $$, is given by the formula  
$$
v_{\text{avg}}=\frac{\Delta d}{\Delta t}.
$$
3. From the graph (using the appropriate scale) determine the distance at point $$ \mathbf{A} $$ and at point $$ \mathbf{B} $$. The difference is  
$$
\Delta d = \text{(distance at } \mathbf{B}\text{)} - \text{(distance at } \mathbf{A}\text{)}.
$$
4. Similarly, determine the times at $$ \mathbf{A} $$ and $$ \mathbf{B} $$ so that  
$$
\Delta t = \text{(time at } \mathbf{B}\text{)} - \text{(time at } \mathbf{A}\text{)}.
$$
5. Substitute these values into the formula above. For example, if the graph shows that the cyclist travelled $$30$$ km in $$1.5$$ hours then  
$$
v_{\text{avg}}=\frac{30\text{ km}}{1.5\text{ h}}=20\text{ km/h}.
$$

Thus, the average speed of the cyclist from point $$ \mathbf{A} $$ to point $$ \mathbf{B} $$ is calculated by dividing the distance traveled by the time taken.
**(a)** Stopwatch **(b)** To find the average speed, divide the distance traveled from point $$ \mathbf{A} $$ to point $$ \mathbf{B} $$ by the time taken. For example, if the cyclist traveled 30 km in 1.5 hours, the average speed is 20 km/h.

The graph below represents the journey of a cyclist. (a) Name an instrument that could be used to measure the time taken for the journey. \( \qquad \) stopwatch (b) Calculate the average speed of the cyclist as he travelled from point \( \mathbf{A} \) to point \( \mathbf{B} \). Calculation

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Physics Questions