prove that path of a projectile is parabolic
Answers
Answer:
Explanation:
Prove that the trajectory of a projectile is parabolic, having the form y = ax + bx2 . To obtain this expression, solve the equation x = v0x t for t and substitute it into the expression for y = v0y t – (1 / 2)gt2 (These equations describe the x and y positions of a projectile that starts at the origin.)
Explanation:
Consider the following equations of a projectile with angle of projection and initial velocity.
Here refer to book; rearrange the expression for time,
The velocity along x-axis in projectile is:
And along y-axis is:
Substituted for in the expression as mentioned in question,
Substitute for and for in the above expression.
Hence the obtained equation of the projectile is.
The expression is to be obtained in the form of.