ok, thank youDr. Courtney said:You do not isolate t.
A graphing calculator can do it, or you can make a table of values:
t x y
0
0.5
1.0
1.5
...
Once you have a table, plot x and y in the usual way.
In parametric equations of motion, trajectory refers to the path followed by an object in motion, while time refers to the duration of the motion. Trajectory is described by two variables (usually x and y coordinates), while time is described by a single variable.
To determine the trajectory from parametric equations of motion, you can plot the x and y coordinates as a function of time. This will give you a visual representation of the path followed by the object in motion.
Yes, velocity and acceleration can be calculated from parametric equations of motion. Velocity is given by the first derivatives of the x and y coordinates with respect to time, and acceleration is given by the second derivatives.
The time of flight can be found by setting the y coordinate equal to zero and solving for the time variable. This will give you the time at which the object reaches the ground (assuming no obstacles or external forces).
Parametric equations of motion are commonly used in fields such as physics, engineering, and robotics. They can be used to model the motion of objects such as projectiles, pendulums, and robots. They are also used in motion planning and control algorithms for vehicles and robots.