State true or false: if the positive x-axis points to the right and the x-component of velocity is negative, the cart must be moving to the left.

True

Explanation:

Velocity is a vector, therefore it consists of two elements:

- A magnitude (also called speed), which is the ratio between the displacement of the object and the time taken

- A direction, which corresponds to the direction of motion of the object

Therefore, velocity can be describes as positive or negative, depending on the direction which has been chosen as positive. If we chose the positive x-axis as positive direction, therefore:

- if the object is moving to the right (positive x-direction), the velocity will be positive

- if the object is moving to the left (negative x-direction), the velocity will be negative

So, in this case, since the velocity of the cart is negative, it must be moving to the left.

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2