4. Soccer and Tennis Your friend kicks a soccer ball straight up (from approximately ground level) with an initial speed of 22.0 m/s. One second later you throw a tennis ball straight up toward it (also from approximately ground level). The balls collide just as the soccer ball reaches its maximum height. The velocity vs time graph is shown. (a) Sketch the position vs time, and acceleration vs time graphs for each ball during its time in the air. (b) What initial speed should you give the tennis ball in order to make it collide with the soccer ball just as the soccer ball reaches its maximum height? (c) If you do this, how fast will the tennis ball be moving when it hits the soccer ball? Vot Vos 1₁ 1₂ t
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.
Given:-
The Initial velocity of the soccer ball is u = 22 m/s
The tennis ball thrown 1 sec later of the soccer ball
both thrown straight up from the ground level.
Find:-
a) Sketch the position Vs Time, acceleration vs Time graph for each ball during the time in air
b) What is the initial velocity of the tennis ball
c) How fast will the tennis ball be moving when the it hits the soccer ball
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