A plane starts from rest and accelerate to 40m/s in 10s. What formula to use to calculate how far did the plane travel during this time?

To calculate how far the plane traveled during the given time, you can use the **equation of motion** for uniformly accelerated motion. Since the plane starts from rest (initial velocity is zero), the appropriate formula is:

\[
s = ut + \frac{1}{2} a t^2
\]

Where:
- \( s \) is the distance traveled,
- \( u \) is the initial velocity (which is 0, since the plane starts from rest),
- \( a \) is the acceleration,
- \( t \) is the time.

Given that the final velocity \( v = 40 \, \text{m/s} \) and the time \( t = 10 \, \text{s} \), you can calculate the acceleration using the formula:

\[
a = \frac{v - u}{t}
\]

Once you find the acceleration \( a \), you can substitute it into the distance formula to find how far the plane traveled.

Would you like to see the calculations?

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**Here are five related questions:**
1. What is the average velocity of the plane during its acceleration?
2. How would the distance change if the acceleration were doubled?
3. What if the initial velocity wasn’t zero—how would that affect the formula?
4. How much time would the plane need to travel 1000 meters at this acceleration?
5. Can you calculate the final velocity if the time were reduced by half?

**Tip:** In problems with uniformly accelerated motion, it’s often useful to start with basic kinematic equations to relate velocity, acceleration, and time.

A plane starts from rest and accelerates to 40m/s in 10s. What formula to use to calculate how far did the plane travel during this time?

Learn how to calculate the distance traveled by a plane starting from rest, accelerating to 40m/s in 10 seconds using kinematic equations. Explore key concepts such as uniformly accelerated motion and relevant formulas. Ideal for students in Grades 9-12.

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