A skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south and a constant acceleration of 1.8 m/s^2 toward the east. Let the x direction be eastward and the y direction be northward, and let the skateboarder be at the origin at t=0. a. What is her x position at t=0.60s?
b. What is her y position at t=0.60s?
c. What is her x velocity component at t=0.60s?
d. What is her y velocity component at t=0.60s?

a) The x-position of the skateboarder is 0.324 meters.

b) The y-position of the skateboarder is -2.16 meters.

c) The x-velocity of the skateboard is 1.08 meters per second.

d) The y-velocity of the skateboard is -3.6 meters per second.

Explanation:

a) The x-position of the skateboarder is determined by the following expression:

(1)

Where:

- Initial x-position, in meters.

- Initial x-velocity, in meters per second.

- Time, in seconds.

- x-acceleration, in meters per second.

If we know that , , and , then the x-position of the skateboarder is:

The x-position of the skateboarder is 0.324 meters.

b) The y-position of the skateboarder is determined by the following expression:

(2)

Where:

- Initial y-position, in meters.

- Initial y-velocity, in meters per second.

- Time, in seconds.

- y-acceleration, in meters per second.

If we know that , , and , then the x-position of the skateboarder is:

The y-position of the skateboarder is -2.16 meters.

c) The x-velocity of the skateboarder (), in meters per second, is calculated by this kinematic formula:

(3)

If we know that , and , then the x-velocity of the skateboarder is:

The x-velocity of the skateboard is 1.08 meters per second.

d) As the skateboarder has a constant y-velocity, then we have the following

The y-velocity of the skateboard is -3.6 meters per second.

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles

its a 5.5 n

glad that