Question

1. Parametric equations are very useful in many ways. They can be used to de-
scribe the motion of a particle moving through three-dimensional space at a
specific time.
Given that a particle is thrown into the air with initial velocity vo and at
an ac a to the lacrizontal, the parcactric equation for the position of the
particle with respect to time is given by
1
z(t) = (vo cost
y(t) = vot sin
3.972
(1)
Horo r(t) and (t) is the horizontal and vertical distance travelled by the
projectile over time respectively. t is the time elapsed and g is the Earth's
gravitational acceleration (just a constant here).
(a) Find the equation of the path of this projectile.
An arrow is released iron a long vow with an initial velocity of iso
fps (feet per second) and at an angle of 50° from the ground.
(b) Using the parametric equations given above, find out the maximum hor-
izontal distance travelled by the arrow (how far the arrow flies). 932
(feet per second squared)​

Answer 1

Answer:

Parametric equations are very useful in many ways. They can be used to de-

scribe the motion of a particle moving through three-dimensional space at a

specific time.

Given that a particle is thrown into the air with initial velocity vo and at

an ac a to the lacrizontal, the parcactric equation for the position of the

particle with respect to time is given by

1

z(t) = (vo cost

y(t) = vot sin

3.972

(1)

Horo r(t) and (t) is the horizontal and vertical distance travelled by the

projectile over time respectively. t is the time elapsed and g is the Earth's

gravitational acceleration (just a constant here).

(a) Find the equation of the path of this projectile.

An arrow is released iron a long vow with an initial velocity of iso

fps (feet per second) and at an angle of 50° from the ground.

(b) Using the parametric equations given above, find out the maximum hor-

izontal distance travelled by the arrow (how far the arrow flies). 932

(feet per second squared)