Magnitude and direction of its velocity problem

In summary, a soccer ball is kicked at an initial speed of 5.9 m/s in a direction 24.0° above the horizontal. After 0.250 s, the magnitude of its velocity is 5.4 m/s and its direction is 0.29 degrees counterclockwise from the +x axis. After 0.500 s, the magnitude of its velocity is 5.4 m/s and its direction is 0.58 degrees counterclockwise from the +x axis.
  • #1
Quezar
1
0
A soccer ball is kicked with an initial speed of 5.9 m/s in a direction 24.0° above the horizontal. Find the magnitude and direction of its velocity at the following times. (Take the +x axis to be parallel to the ground, in the direction that the ball is kicked.)

(a) 0.250 s after being kicked
1 ___ m/s
2 ___ degrees (counterclockwise from the +x axis)

(b) 0.500 s after being kicked
1 ___ m/s
2 ___ degrees (counterclockwise from the +x axis)


vx = v0x +ax * t
vy= v0y + ay * t


cos24=x/5.9
1/2*-9.8*.25^2+2.4*.25 = .29
vx = 5.4 vy = .29
thats all I could figure out
 
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  • #2
you are given the initial velocity and theta , you can get vox and voy noting that:

vox = vo*costheta , voy = vo*sintheta .. and in each part you given the time (t) , another thing you need to notice is that the velocity in the x-direction is constant, so what that tells you?
and the velocity in the y-direction is changing under the influence of gravity, you wrote this equation:
vy = voy -gt , you have voy , g is constant , and you are given t..

to find v it is just finding sqrt(vx^2 + vy^2) and the direction is just arctan(vy/vx) ,this question is fairly straight forward, try again and see if it is different than the values you got .. :)
 

1. What is magnitude and direction of velocity?

Magnitude and direction of velocity refers to the speed and direction of an object's movement. It is a vector quantity, meaning it has both magnitude (numerical value) and direction. It is typically measured in units of distance per time (e.g. meters per second or miles per hour).

2. How is magnitude and direction of velocity calculated?

Magnitude and direction of velocity can be calculated using the formula v = d/t, where v is velocity, d is the distance traveled, and t is the time it took to travel that distance. The direction of velocity is determined by the direction of the object's movement, which is typically represented by an arrow pointing in the direction of motion.

3. What is the difference between speed and velocity?

Speed and velocity are often used interchangeably, but they actually have different meanings. Speed refers to the rate at which an object is moving, while velocity refers to both the speed and direction of an object's movement. In other words, velocity includes the magnitude and direction of an object's speed.

4. How can magnitude and direction of velocity be represented graphically?

Magnitude and direction of velocity can be represented on a graph by plotting the object's position at different points in time. The slope of the line connecting these points represents the object's velocity. The direction of the line indicates the direction of motion.

5. How does acceleration affect magnitude and direction of velocity?

Acceleration is a measure of how an object's velocity changes over time. If an object is accelerating, its velocity will either increase or decrease, depending on the direction of the acceleration. This will impact both the magnitude and direction of the object's velocity, resulting in a change in its speed and/or direction of movement.

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