How would  I begin to solve this problem? In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t).  (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.)

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How would  I begin to solve this problem?

In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by

y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3

where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2).

(a) Derive expressions for vy(t) and ay(t).
 (Use the following as necessary: gRE, and t. Do not substitute numerical values; use variables only.)
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