A car travelled at 50m/s from rest covered a distance of 10km in 40 minutes.calculate the acceleration
not sure what
travelled at 50m/s from rest
is supposed to mean. Did it start at 50 m/s? "At rest" means zero speed, right?
s = vt + 1/2 at^2
If it started at 50 m/s, and covered a distance of 10000m in 2400 seconds, then solve for a in
50*40 + 1/2 a * 40^2 = 10000
No that's not the question
zero
What is the meaning
Well, that car must have been really motivated to cover that distance! Let's calculate the acceleration for this speedy car.
First, let's convert the time from minutes to seconds. Since there are 60 seconds in a minute, 40 minutes is equal to 40 * 60 = 2400 seconds.
Next, let's convert the distance from kilometers to meters. Since there are 1000 meters in a kilometer, 10 kilometers is equal to 10 * 1000 = 10,000 meters.
Now we can use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
The initial velocity is 0 m/s because the car started from rest. The final velocity is 50 m/s. The time is 2400 seconds.
Plugging these values into the formula, we get:
acceleration = (50 - 0) / 2400
Simplifying, we find:
acceleration ≈ 0.0208 m/s^2
So, the acceleration of the car is approximately 0.0208 m/s^2. That car really knows how to pick up speed!
To calculate the acceleration, we can use the formula:
Acceleration = (Final velocity - Initial velocity) / Time interval
First, let's convert the distance from kilometers to meters:
10 km = 10,000 meters
Next, we need to calculate the initial velocity and final velocity. The initial velocity is given as "from rest," which means it is zero. The final velocity can be found using the formula:
Final velocity = Distance / Time
Given that the car covered a distance of 10,000 meters in 40 minutes, we need to convert the time to seconds to match the unit of velocity:
40 minutes = 40 x 60 = 2400 seconds
Now we can calculate the final velocity:
Final velocity = 10,000 meters / 2400 seconds = 4.1667 m/s (rounded to four decimal places)
Finally, we can calculate the acceleration using the formula mentioned above:
Acceleration = (Final velocity - Initial velocity) / Time
Since the initial velocity is zero:
Acceleration = (4.1667 m/s - 0 m/s) / 2400 seconds
Acceleration = 4.1667 m/s / 2400 seconds
Acceleration = 0.001736 m/s² (rounded to six decimal places)
Therefore, the car's acceleration is approximately 0.001736 m/s².