Thank you for visiting 1 A car accelerates from 0 to 35 0 miles per hour in 4 75 seconds Calculate the acceleration of the car and express your. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
We start with the information that the car goes from an initial speed of $u=0$ to a final speed of $35.0\ \text{mph}$ in a time interval of $t=4.75\ \text{s}$. Our goal is to express the acceleration in meters per second squared.
**Step 1. Convert the final speed from miles per hour to meters per second.**
We use the conversion factors:
- $1\ \text{mile} = 1609\ \text{meters}$,
- $1\ \text{hour} = 3600\ \text{seconds}$.
Thus, the conversion factor from miles per hour to meters per second is
$$
\frac{1609\ \text{meters}}{3600\ \text{seconds}} \approx 0.4469444444.
$$
The final speed in meters per second is then calculated as
$$
v = 35.0\ \text{mph} \times 0.4469444444\ \frac{\text{m/s}}{\text{mph}} \approx 15.64305556\ \text{m/s}.
$$
**Step 2. Calculate the acceleration.**
Since the car starts from rest ($u = 0$), the acceleration $a$ can be found using the formula
$$
a = \frac{v - u}{t}.
$$
Substituting the known values:
$$
a = \frac{15.64305556\ \text{m/s} - 0\ \text{m/s}}{4.75\ \text{s}} \approx 3.2932748538\ \text{m/s}^2.
$$
**Step 3. State the final answer.**
Therefore, the acceleration of the car is approximately
$$
3.293\ \text{m/s}^2.
$$
This is the acceleration expressed in meters per second squared.
**Step 1. Convert the final speed from miles per hour to meters per second.**
We use the conversion factors:
- $1\ \text{mile} = 1609\ \text{meters}$,
- $1\ \text{hour} = 3600\ \text{seconds}$.
Thus, the conversion factor from miles per hour to meters per second is
$$
\frac{1609\ \text{meters}}{3600\ \text{seconds}} \approx 0.4469444444.
$$
The final speed in meters per second is then calculated as
$$
v = 35.0\ \text{mph} \times 0.4469444444\ \frac{\text{m/s}}{\text{mph}} \approx 15.64305556\ \text{m/s}.
$$
**Step 2. Calculate the acceleration.**
Since the car starts from rest ($u = 0$), the acceleration $a$ can be found using the formula
$$
a = \frac{v - u}{t}.
$$
Substituting the known values:
$$
a = \frac{15.64305556\ \text{m/s} - 0\ \text{m/s}}{4.75\ \text{s}} \approx 3.2932748538\ \text{m/s}^2.
$$
**Step 3. State the final answer.**
Therefore, the acceleration of the car is approximately
$$
3.293\ \text{m/s}^2.
$$
This is the acceleration expressed in meters per second squared.
Thank you for reading the article 1 A car accelerates from 0 to 35 0 miles per hour in 4 75 seconds Calculate the acceleration of the car and express your. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
