Consider 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:
where RE is the radius of the Earth (6.38 ✕ 106m) and g is the constant acceleration
of an object in free fall near the Earth’s surface (9.81 m/s2).
(a) Determine expressions for velocity and acceleration of the rocket
(b) When will the rocket be at ?
(c) What are the velocity and the acceleration when ?
(a) Velocity of the rocket is
Acceleration of the rocket is
(c) The velocity of the rocket when or is
The acceleration of the rocket when or is
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