Write your systematic and complete solution in solving the following problems. 1. A ball starts from rest and uniformly accelerates at a rate of 3.5 m/s2 for 7.0 seconds. (a) What is the ball's displacement during this 7-second time period? (b) What is the ball's final velocity?
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.
Write your systematic and complete solution in solving the following problems.
1. A ball starts from rest and uniformly accelerates at a rate of 3.5 m/s2 for 7.0 seconds.
(a) What is the ball's displacement during this 7-second time period?
(b) What is the ball's final velocity?
2. A soccer ball is kicked horizontally off a 28.0-meter-high hill and lands a distance of 41.0 meters from the edge of the hill.
(a) Determine the initial horizontal velocity of the soccer ball.
(b) Find its total time of flight.
(c) Find the maximum vertical displacement.
3. A ball is directly thrown upward with a velocity of 5 m/s.
(a) Find the maximum height reached in m.
(b) Find the total time of flight in s.
(c) What will be the final velocity v of the ball just before it hits the ground? (Neglect air resistance.)
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