calculate the distance it traveled before it is brought to rest from 44 km/h if the speed of a truck going south is reduced from 80 km/h to 44 km/h in a distance of 250 m.
see other post, Annie.
1m
To calculate the distance traveled before the truck is brought to rest, we need to find the initial distance (d1) traveled at the initial speed and the distance (d2) covered during the deceleration.
1. Calculate the initial distance (d1) traveled at the initial speed of 80 km/h.
- Convert the initial speed to meters per second (m/s).
Initial Speed (v1) = 80 km/h = (80 * 1000) / (60 * 60) = 22.22 m/s
- Use the formula: d1 = v * t
Assuming the truck moved at a constant speed before deceleration, we need to know the time (t1) during which the truck traveled at 80 km/h.
- Without the time, it is not possible to calculate the initial distance (d1). Additional information is needed for this step.
2. Calculate the distance (d2) covered during the deceleration from 80 km/h to 44 km/h.
- The truck's speed is reduced from 80 km/h to 44 km/h over a distance of 250 m.
- Subtract the final speed from the initial speed to get the change in speed Δv.
Change in Speed (Δv) = 80 km/h - 44 km/h = (80 - 44) km/h = 36 km/h = 10 m/s
- Use the formula: d2 = (v2^2 - v1^2) / (2a)
Here, v2 = final speed = 44 km/h = (44 * 1000) / (60 * 60) = 12.22 m/s
v1 = initial speed = 80 km/h = (80 * 1000) / (60 * 60) = 22.22 m/s
a = acceleration = Δv / distance = 10 m/s / 250 m = 0.04 m/s² (acceleration is negative as it's a deceleration)
- Plug the values into the formula: d2 = (12.22^2 - 22.22^2) / (2 * (-0.04) ) = 666.67 m
Total distance traveled (d_total) is the sum of d1 and d2:
d_total = d1 + d2
Please provide the additional information about the time traveled at 80 km/h to determine the initial distance (d1) and get the final answer.