If you accelerate due to gravity (free fall), your acceleration is -9.8 m/s2. In some fields, particularly aviation, this is referred to as 1 g of acceleration.
If you were accelerating at 2.5 g, what would be your average acceleration?
If you started from rest, what would be your speed after 10 s?
What would be your average speed during the acceleration?
How far would you have travelled in this time?
Q1.a = 2.5 * -9.8 = -24.5m/s^2.
Q2. V = Vo + g*t = 0 + 9.8*10 = 98 m/s.
Q3. V = 0.5g*t = 4.9*10 = 49 m/s.
Q4. d = 0.5g*t^2 = 4.9*10^2 = 490 m.
To find the average acceleration when accelerating at 2.5 g, we need to convert 2.5 g to m/s². Since 1 g is equivalent to -9.8 m/s², multiplying 2.5 by -9.8 gives us the average acceleration.
Average acceleration = 2.5 g * (-9.8 m/s²) = -24.5 m/s²
Therefore, the average acceleration when accelerating at 2.5 g would be -24.5 m/s².
If you started from rest and experienced an acceleration of -9.8 m/s² (1 g) for 10 seconds, you can find the speed using the formula:
Speed = Initial velocity + (Acceleration * Time)
Since the initial velocity was 0 m/s, and the acceleration is -9.8 m/s²:
Speed = 0 m/s + (-9.8 m/s² * 10 s) = -98 m/s
However, since speed is a scalar quantity and doesn't specify direction, the magnitude of the speed is 98 m/s (the negative sign indicates that the direction is downwards).
To find the average speed during the acceleration, we need to calculate the average of the initial and final speeds. In this case, the initial speed is 0 m/s, and the final speed after 10 seconds is 98 m/s. Thus, the average speed during the acceleration would be (0 m/s + 98 m/s) / 2 = 49 m/s.
To calculate the distance traveled during this time, we can use the formula for distance travelled during uniformly accelerated motion:
Distance = (Initial velocity * Time) + (0.5 * Acceleration * Time²)
Since the initial velocity is 0 m/s, the acceleration is -9.8 m/s², and the time is 10 seconds:
Distance = (0 m/s * 10 s) + (0.5 * (-9.8 m/s²) * (10 s)² = -490 m
Again, the negative sign indicates that the direction is downwards. Therefore, you would have traveled 490 meters in this time.