In an alien planet, in which the acceleration due to gravity is constant, a rocket is launched straight up. The velocity at t = 3.00 s is 10 m/s upward. Then, at t = 7.00 s, the velocity is -4.00 m/s downward. a. Draw a sketch of the situation. What is the initial velocity of the rocket?
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.
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Really struggling with this concept.
Please explain so I can better understand !
Thank you so much
This is a problem regarding the vertical motion of a body under a constant acceleration.
The equations of motion that needs to be used in this problem is:
,
where,
v is the final velocity,
u is the initial velocity,
a is the acceleration and
t is the time.
The acceleration is acting downwards. Hence, when the vehicle is going up, the acceleration reduces the velocity, and the vehicle is going down, the acceleration increases the velocity.
The values given in the question are:
The velocity of the vehicle at 3.00 s is:
The velocity of the vehicle at 7.00 s is:
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