Find the magnitude of the initial velocity.

In summary, the problem involves finding the magnitude of the initial velocity of a ball thrown into the air based on its horizontal distance and time of travel. Using the equation x = vox, the velocity in the x direction is found to be incorrect. In order to find the total velocity, the velocity in the y direction must also be determined and then the total magnitude can be calculated.
  • #1
jessicax07
7
0

Homework Statement



A ball thrown into the air lands on the same horizontal level, 38 m away, and 3 s later. Find the magnitude of the initial velocity.

Homework Equations



x = vox


The Attempt at a Solution



I just plugged the x distance which is 38m and the time which is 3s into the equation on top and got the wrong answer..
 
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  • #2
That's because you only found the velocity in the x direction. Though I suppose that unless the problem specifically stated that there is a non-zero y velocity then you'd be right. You also have to find velocity in the y direction to get the total velocity. Then find the total magnitude.
 

1. How do you calculate the magnitude of the initial velocity?

The magnitude of the initial velocity can be calculated using the Pythagorean theorem, which states that the magnitude of a vector is equal to the square root of the sum of the squares of its individual components. In the case of initial velocity, the components are typically the x and y velocities, and the magnitude can be calculated as √(vx² + vy²).

2. What is the difference between initial velocity and final velocity?

Initial velocity refers to the velocity of an object at the beginning of a given period of time, while final velocity refers to the velocity of the object at the end of that time period. The difference between the two can help determine the acceleration of the object.

3. Can the magnitude of the initial velocity be negative?

Yes, the magnitude of the initial velocity can be negative. This typically occurs when an object is moving in the negative direction (e.g. left, down) and the velocity is measured as a negative value.

4. How does the magnitude of the initial velocity affect the trajectory of an object?

The magnitude of the initial velocity is one of the factors that determine the trajectory of an object. A higher magnitude will result in a longer distance traveled and a steeper angle of trajectory, while a lower magnitude will result in a shorter distance traveled and a shallower angle of trajectory.

5. What units are used to measure the magnitude of the initial velocity?

The magnitude of the initial velocity is typically measured in meters per second (m/s) or feet per second (ft/s). However, it can also be measured in other units such as kilometers per hour (km/h) or miles per hour (mph), depending on the specific application or context.

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