Item with Uniform Velocity intersects with Item with Uniform Acceleration

In summary, the conversation discusses a physics problem where a speeder passes a stationary cop car and the cop car accelerates to catch up with the speeder. The conversation includes equations and calculations to determine the intersection point, time, and distance between the two cars. The conclusion is that the police car will catch up with the speeder after 9.523 seconds and the distance between them will be 317.4 meters. The speaker is seeking confirmation that their reasoning and calculations are correct.
  • #1
QuickSkope
60
0
Solved, thanks :D
 
Last edited:
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  • #2
QuickSkope said:

Homework Statement


A speeder passes a stationary cop car going 120 km/h. The police car accelerates 7 m/s^2 constantly till he meets up with the speeder. Where do they intersect? What is their time and distance?


Homework Equations


Speeder is car 1, Police car is car 2.
not 100% sure, but I tried using these:
d1 = v * t
V2 = a * t
d2 = 1/2a * t^2

The Attempt at a Solution



Converted 120 km/h to 33+(1/3) m / s.

where does d1 and d2 = the same? When the police car catches up.

Where t is unknown, solve for t:
v*t = 1/2a * t^2
33.33 * t = 1/2(7) * t^2 (substitute values)
33.33t = 3.5t^2 (Do math)
33.33 = 3.5t (remove one t on either side)
9.523 = t

d = v * t

d = 33.33 m/s * 9.523

d = 317.4 m


It feels okay, but I've only been doing physics a short while, I really just need someone to tell me if I am right or wrong. Thanks.

Hi QuickSkope. Welcome to Physics Forums.

Your reasoning and calculations look fine.
 
  • #3
Okay cool, thanks :D

Thanks for the Welcome, you can probably lock/close this.
 

Related to Item with Uniform Velocity intersects with Item with Uniform Acceleration

1. What is the difference between uniform velocity and uniform acceleration?

Uniform velocity refers to the constant rate at which an object travels in a straight line without changing direction. On the other hand, uniform acceleration refers to the constant rate at which the velocity of an object changes in a straight line. This means that while the object is still moving in a straight line, its speed is increasing or decreasing at a constant rate.

2. Can an object have both uniform velocity and uniform acceleration at the same time?

No, an object cannot have both uniform velocity and uniform acceleration at the same time. This is because uniform velocity means the object is moving at a constant speed, while uniform acceleration means the speed is changing at a constant rate. These two concepts are contradictory and cannot occur simultaneously.

3. What happens when an object with uniform velocity intersects with an object with uniform acceleration?

When these two objects intersect, it means they are at the same position in space at the same time. Depending on their respective velocities and accelerations, they may collide or pass through each other. If the object with uniform velocity is also changing direction, it may pass by the object with uniform acceleration without touching.

4. How does the motion of an object with uniform velocity differ from an object with uniform acceleration?

The main difference between these two types of motion is that an object with uniform velocity will maintain a constant speed and direction, while an object with uniform acceleration will change its speed but remain in a straight line. Additionally, an object with uniform velocity will not experience any net force, while an object with uniform acceleration will experience a net force in the direction of its motion.

5. Can an object with uniform velocity and an object with uniform acceleration have the same displacement?

Yes, it is possible for an object with uniform velocity and an object with uniform acceleration to have the same displacement. This can occur if the two objects have different initial positions and velocities, but their paths intersect at some point. In this case, they will share the same displacement at the point of intersection.

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