NOTE: 1. Draw your given velocity in your cartesian plane. 2. Illustrate the x and y component of the velocity 3. Show your complete solution
ACTIVITY
Calculate the x and y components of the following velocities
1. 25m/s , 20 degrees above the positive x axis.
2. 150m/s, 36 degrees above the positive x axis
3. 80m/s, 45 degrees above the positive x axis
ACTIVITY
Calculate the x and y components of the following velocities
1. 25m/s , 20 degrees above the positive x axis.
2. 150m/s, 36 degrees above the positive x axis
3. 80m/s, 45 degrees above the positive x axis
Add an Answer
More Questions From This User See All
Answers & Comments
1. To draw the given velocity, we will start from the origin and move 25 units towards the direction 20 degrees above the positive x axis.
2. To find the x and y components, we can use trigonometry. From the right triangle below, we have:
cos(20) = x/25
x = 25cos(20) ≈ 23.2 m/s
sin(20) = y/25
y = 25sin(20) ≈ 8.5 m/s
Therefore, the x component of the velocity is 23.2 m/s to the right and the y component is 8.5 m/s upwards.
3. Similarly, we draw the velocity of 150m/s at an angle of 36 degrees above the positive x axis and 80m/s at an angle of 45 degrees above the positive x axis.
For the velocity of 150m/s:
cos(36) = x/150
x = 150cos(36) ≈ 120.8 m/s
sin(36) = y/150
y = 150sin(36) ≈ 86.2 m/s
Therefore, the x component of the velocity is 120.8 m/s to the right and the y component is 86.2 m/s upwards.
For the velocity of 80m/s:
cos(45) = x/80
x = 80cos(45) ≈ 56.6 m/s
sin(45) = y/80
y = 80sin(45) ≈ 56.6 m/s
Therefore, the x and y components of the velocity are equal and are both ≈ 56.6 m/s to the right and upwards.
#BRAINLEIST