BC 2-3
Vectors 3: Projectile Motion
Name:
Example:
A person throws a ball into the air from a height of 2 meters. The initial velocity of the ball is 10
meters/second and the angle of elevation is 60°.
r
r
We know that the acceleration is a  t   9.8 j , due to
gravity.
How far (horizontally) will the ball travel before it hits the ground?
What will be the speed of the ball at the instant it hits the ground?
How far will the ball have traveled in the air?
Vectors 3.1
F12
2.
Consider the curve given by: r (t )   6cos t  cos(2t )  i  2cos(t ) j :
dy
dx
a,
Determine
b.
Determine lim
c.
Eliminate the parameter t from the vector-valued function to write a Cartesian (x, y) equation
for this curve.
t 0
dy
.
dx
Vectors 3.2
F12