Horizontal Launch (Math)
A ball is launched horizontally from a 45 m high cliff at 30 m/s. How far from the base of the cliff does it land?
90.9 m
This quantity remains constant throughout the horizontal motion of a projectile launched horizontally.
Horizontal velocity
Given vectors A = (3, 4) and B = (-2, 5), what is A + B in component form?
(1, 9)
Convert the vector (6, 8) to magnitude and direction form.
10 units at 53.1 degrees
A projectile is fired horizontally at 50 m/s from the top of a 120 m building. How long does it take to hit the ground?
4.95 s
In the absence of air resistance, this trajectory shape is followed by a horizontally launched projectile. (If you miss this, 0)
Parabola
Vector C = (5, -2) and D = (-3, 6). What is the magnitude of C + D?
4.47
A vector has a magnitude of 15 units and points 30 degrees below the positive x-axis. What are its x and y components?
(13.0, -7.5)
An object is launched horizontally at 25 m/s from a height of 80 m. What is its vertical velocity just before impact?
39.6 m/s
This force is the only one acting on a horizontally launched projectile after launch (assuming no air resistance).
Gravity
If E = (4, -3) and F = (2, 7), what is the direction angle of E + F with respect to the positive x-axis?
33.9 degrees
Vector V has components (-4, 7). What is its magnitude?
8.06 units
A bullet is fired horizontally at 300 m/s from a height of 2 m. What is its impact angle with the ground?
1.20 degrees
When you are confused, try to take 2-D kinematics back to this.
time
Vectors G = (-2, 5) and H = (6, -1). What is the x-component of G - H?
-8
A vector has a magnitude of 20 units and points 60 degrees above the positive x-axis. What is its y-component?
17.3