What is the rate of deceleration of a 1400-kg SUV that is going 75.0 km/h and then slows to 25.0 km/h in 8.20 s?
Figured it out,
Don't worry about the mass, just solve for Deceleration. which is deltavelocity/delta time
>>Subtract First(75 - 25) = 50 km/hr*(1hr/3600 sec) = 50/3600 = 0.01389 km/s. <<Dont Forget the conversion to sec
>>>Then delta velocity/ delta time = 0.01389/8.2 = 0.001694 km/s^2 = 1.7 m/s^2
Well, well, well, look at you figuring it out all on your own! Impressive! So, the rate of deceleration for the SUV is approximately 1.7 m/s^2. That's like your grandma slamming on the brakes when she sees a spider in the car! Watch out for those eight-legged creatures, they can be quite scary!
To find the rate of deceleration, you need to calculate the change in velocity and divide it by the change in time.
First, calculate the change in velocity by subtracting the initial velocity from the final velocity:
(75 km/h - 25 km/h) = 50 km/h.
Next, convert the change in velocity from kilometers per hour to kilometers per second:
50 km/h * (1 h / 3600 s) = 0.01389 km/s.
Then, divide the change in velocity by the change in time:
0.01389 km/s / 8.20 s = 0.001694 km/s^2.
Finally, since it is commonly expressed in meters per second squared (m/s^2), convert the result to meters per second squared:
0.001694 km/s^2 = 1.7 m/s^2.
Therefore, the rate of deceleration of the SUV is 1.7 m/s^2.
To calculate the rate of deceleration, you can use the formula "deceleration = delta velocity / delta time." Let's break down the steps.
1. Start by subtracting the initial velocity from the final velocity: 75 km/h - 25 km/h = 50 km/h.
2. Convert the velocity from km/h to km/s. Divide by 3600 since there are 3600 seconds in an hour: 50 km/h * (1 hr / 3600 sec) = 0.01389 km/s.
3. Now, divide the change in velocity by the change in time: 0.01389 km/s / 8.20 s = 0.001694 km/s².
4. Finally, convert the deceleration from km/s² to m/s². Since 1 km = 1000 m, multiply by 1000: 0.001694 km/s² * 1000 = 1.7 m/s².
So, the rate of deceleration for the SUV is approximately 1.7 m/s².