When does the speed equal 10 m/s?

In summary, a Vector Velocity Problem is a type of physics problem that involves calculating the velocity of an object in two or three dimensions using vectors. To solve these problems, you need to break them down into individual components and use mathematical equations. They have various applications in fields like physics, engineering, and navigation. Some tips for solving them include drawing diagrams and understanding vector principles. You can check your answer using the laws of physics and double-checking your calculations.
  • #1
InsTanCeZ
4
0

Homework Statement



The velocity v of a particle moving in the xy plane is given by v = (6.0t - 4.0t2) i + 6.0 j, with v in meters per second and t (> 0) is in seconds.

(d) When does the speed equal 10 m/s?

Homework Equations



?

The Attempt at a Solution



6-8t=-10
t=2s
That's not right
 
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  • #2
Well, how is the speed defined in terms of the vector velocity
 

1. What is a Vector Velocity Problem?

A Vector Velocity Problem is a type of physics problem that involves calculating the velocity of an object in two or three dimensions. The velocity is represented as a vector, which includes both magnitude (speed) and direction.

2. How do you solve a Vector Velocity Problem?

To solve a Vector Velocity Problem, you need to first break the problem down into its individual components. This involves identifying the initial velocity, final velocity, and any other given information. Then, you can use mathematical equations, such as the Pythagorean theorem and trigonometric functions, to calculate the vector velocity.

3. What are some common applications of Vector Velocity Problems?

Vector Velocity Problems are commonly used in fields such as physics, engineering, and navigation. They are used to calculate the velocity of moving objects, such as projectiles, vehicles, and airplanes. They are also used in GPS systems and satellite navigation.

4. What are some tips for solving Vector Velocity Problems?

One tip for solving Vector Velocity Problems is to draw a diagram to visualize the problem. This can help you identify the individual components and the direction of the vectors. Additionally, it is important to understand the basic principles of vectors, such as vector addition and subtraction, and to use the correct units of measurement.

5. How can I check if my answer to a Vector Velocity Problem is correct?

You can check your answer by using the laws of physics and common sense. For example, if you are calculating the velocity of a projectile, your answer should align with the laws of projectile motion. You can also double-check your calculations and units to ensure they are correct.

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