An object is observed to move under the following equation of motion ... x(t) = A√t ... take A =√2. Determine the equations for the velocity and acceleration as a function of time. Write each equation in differential equation format, including second-order, if necessary.

Explanation:

x(t) = A√t

x(t) = √(2t)

v(t) = dx/dt

v(t) = ½ (2t)^-½ × 2

v(t) = (2t)^-½

a(t) = dv/dt

a(t) = -½ (2t)^⁻³/₂ × 2

a(t) = -(2t)^⁻³/₂

answer and explanation;

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