A model rocket is fired straight up from the top of a 50-m tall building. The rocket has only enough fuel to burn for 2s. But while the rocket engine is burning fuel, it produces an upward acceleration of 50 m/s^2. After the fuel supply is exhausted, the rocket is in free fall and just misses the edge of a building as it falls back to the ground. Ignoring air resistance, calculate a. the height above the ground and the velocity of the rocket when its fuel runs out. b. the maximum height of the rocket c. the time the rocket is in the air. d. the rocket's velocity the moment before it hits the ground.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
A model rocket is fired straight up from the top of a 50-m tall building. The rocket has only enough fuel to burn for 2s. But while the rocket engine is burning fuel, it produces an upward acceleration of 50 m/s^2. After the fuel supply is exhausted, the rocket is in free fall and just misses the edge of a building as it falls back to the ground. Ignoring air resistance, calculate
a. the height above the ground and the velocity of the rocket when its fuel runs out. b. the maximum height of the rocket c. the time the rocket is in the air. d. the rocket's velocity the moment before it hits the ground.
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