Equations of Motion: Car Travels 60m/s for 10s

In summary, an equation of motion is a mathematical expression derived from Newton's laws of motion that describes the relationship between an object's position, velocity, and acceleration over time. For a car traveling at a constant velocity of 60m/s for 10 seconds, the equation of motion tells us that its initial velocity is 60m/s, its acceleration is 0m/s^2, and its final displacement is 600m. It can also be used to predict future motion as long as acceleration remains constant and no external forces act on the object. However, the equation of motion is only applicable to motion with constant acceleration and different equations are needed for other types of motion, such as circular motion.
  • #1
failwhale
1
0
A car with an initial velocity of 60m/s slows down with deceleration of -8m/s^2. How far will it have traveled after 10 seconds?
 
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  • #2
Hi failwhale, welcome to PF.

Can you write down the relevant kinematic equations?
 
  • #3
S = u.t + 1/2. a. t^2

substitute the value and find the answer, okay.

One more thing. either use word "deceleration" or use minus sign. don't use it together otherwise it is acceleration.
 

FAQ: Equations of Motion: Car Travels 60m/s for 10s

What is an equation of motion?

An equation of motion is a mathematical expression that describes the relationship between the position, velocity, and acceleration of an object over time.

How is the equation of motion derived?

The equation of motion is derived from Newton's laws of motion, specifically the second law which states that the net force acting on an object is equal to its mass multiplied by its acceleration.

What does the equation of motion tell us about the car's motion?

The equation of motion for this scenario (car traveling 60m/s for 10s) tells us that the car's initial velocity is 60m/s, its acceleration is 0m/s^2, and its final displacement is 600m.

Can the equation of motion be used to predict the car's future motion?

Yes, the equation of motion can be used to predict the car's future motion as long as the acceleration remains constant and no external forces act on the car.

Is the equation of motion applicable to all types of motion?

No, the equation of motion is applicable to motion with constant acceleration. Other types of motion, such as circular motion, require different equations.

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