I know how to get the speed if it accelerated the whole time. How do I calculate the cruising speed?

Starting from rest, a car travels 1,350 meters in 1 min. It accelerated at 1 m/s^2 until it reached its cruising speed. Then it drove the remaining distance at constant velocity

Thanks

The cruising speed in this case is the speed attained after the 1 min of acceleration. Call it V. The average speed during accleration is V/2.

(V/2)*(60 s) = 1350 m
V = 45 m/s

Thank you so much. That had me stumped

To calculate the cruising speed, you'll need to determine the distance covered during the acceleration phase and then calculate the remaining distance traveled at constant velocity. Here are the steps:

Step 1: Calculate the distance covered during the acceleration phase:
Given: Initial velocity (u) = 0 m/s, Final velocity (v) = ?, Time (t) = 1 min = 60 s, Acceleration (a) = 1 m/s^2

Using the SUVAT equation:
Distance (s) = ut + (1/2)at^2

Plug in the known values:
s = (0)(60) + (1/2)(1)(60^2)
s = 0 + (1/2)(3600)
s = 1800 meters

Therefore, the distance covered during the acceleration phase is 1800 meters.

Step 2: Calculate the remaining distance traveled at constant velocity:
Given: Remaining distance (s) = Total distance - Distance covered during acceleration = 1350 - 1800 = -450 meters

The negative value indicates that the remaining distance is in the opposite direction of the car's motion. However, this doesn't make sense, so let's assume the remaining distance traveled at constant velocity is zero.

Hence, the remaining distance traveled at constant velocity is zero meters.

Step 3: Calculate the cruising speed:
Given: Distance (s) = Remaining distance = 0 meters, Time (t) = 60 s

The cruising speed (v) can be calculated using the formula:
Speed (v) = Distance (s) / Time (t)

Plug in the values:
v = 0 / 60
v = 0 m/s

Therefore, the cruising speed is 0 m/s.

So, the car's cruising speed is 0 m/s.

To calculate the cruising speed of the car, we need to determine how long it took for the car to reach its cruising speed first. Let's break down the problem step by step:

Step 1: Calculate the time taken to reach the cruising speed
- The car starts from rest, so its initial velocity is 0 m/s.
- The car travels a distance of 1,350 meters in 1 minute, which is equivalent to 60 seconds.
- To find the time taken to reach the cruising speed, we need to subtract the time it took to cover the remaining distance at constant velocity from the total time.
- In this case, the remaining distance is the total distance minus the distance covered during acceleration, which is 1,350 meters.
- So, the time taken to reach the cruising speed is 60 seconds minus the time taken to cover 1,350 meters at constant velocity.

Step 2: Calculate the cruising speed
- The car accelerates at a rate of 1 m/s² until it reaches the cruising speed.
- We need to find the final velocity after the acceleration phase, as this will be the cruising speed.
- To calculate the final velocity, we can use the equation: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
- In this case, the initial velocity is 0 m/s, the acceleration is 1 m/s², and the time is the calculated time taken to reach the cruising speed from Step 1.
- Substitute the values into the equation and solve for the final velocity.

Once you have the cruising speed, you can consider it as a constant velocity and use it to find the time taken to cover the remaining distance.