Consider a projectile launched from the ground at 18.00 m/s and an initial angle of 57 degrees. 1.) Calculate the x-component of the initial velocity. Record your answer in units of m/s to 4 decimals. 2.) Calculate the y-component of the initial velocity. Record your answer in units of m/s to 4 decimals. 3.) If there is no air resistance, what is the y-component of the acceleration? Note that g=9.81g=9.81 m/s2. a.) +g+g b.)-g−g c.) Cannot say for sure because it is constantly changing. 4.) If there is no air resistance, what can you say about the x-component of the acceleration? a.) a_x = 0ax=0 b.) a_x > 0ax>0 c.) a_x < 0ax<0 5.) Solve this equation for time. One of the solutions is t=0t=0 s and the other is how how long the projectile stays in the air. Report your answer to 4 decimals. The total time can be found from the equation y=y_i+v_{iy}t+\frac{1}{2}a_y t^2y=yi+viyt+21ayt2 Using y_i = 0yi=0 & y = 0y=0, this simplifies to: 0=v_{iy}t+\frac{1}{2}a_yt^20=viyt+21ayt2
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.
Consider a projectile launched from the ground at 18.00 m/s and an initial angle of 57 degrees.
1.) Calculate the x-component of the initial velocity. Record your answer in units of m/s to 4 decimals.
2.) Calculate the y-component of the initial velocity. Record your answer in units of m/s to 4 decimals.
3.) If there is no air resistance, what is the y-component of the acceleration? Note that g=9.81g=9.81 m/s2.
a.) +g+g
b.)-g−g
c.) Cannot say for sure because it is constantly changing.
4.) If there is no air resistance, what can you say about the x-component of the acceleration?
a.) a_x = 0ax=0
b.) a_x > 0ax>0
c.) a_x < 0ax<0
5.) Solve this equation for time. One of the solutions is t=0t=0 s and the other is how how long the projectile stays in the air. Report your answer to 4 decimals.
The total time can be found from the equation
y=y_i+v_{iy}t+\frac{1}{2}a_y t^2y=yi+viyt+21ayt2
Using y_i = 0yi=0 & y = 0y=0, this simplifies to:
0=v_{iy}t+\frac{1}{2}a_yt^20=viyt+21ayt2
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