Vectors Review
1) Which of the following projectiles
would reach the highest height?
• 25 m/s @ 40°
• 29 m/s @ 30°
• 40 m/s @ 25°
• 40 m/s @ 25°
– Highest Vyi
2) A bomber plane is going to drop a
bomb on a city, when should the plane
release the bomb?
• A) before it reaches the city
• B) when it is directly above the city
• C) after it passes the city
• A) before it reaches the city
• Bomb maintains horizontal speed of the plane
after it is dropped
3) Considering the same bomber
plane, where will the plane be relative
to the bomb when it hits the ground?
• In front of it
• Directly above it
• Behind it
• Directly above it, the plane will be directly
above the bomb the entire time because both
will have the same horizontal velocity
4) A projectile is fired at an angle of
37°, what other angle could the
projectile be fired at (with the same
speed) so that it achieved the same
range?
• 53° …. Complementary angles produce equal
ranges
5) What angle should a projectile be
fired at to achieve maximum range?
• 45°
6) What angle should a projectile be
fired to achieve maximum height?
• 90° Straight up
7) If you are aiming a rifle at a far away
target, where should you aim?
• A) Above the target
• B) Right at the target
• C) Below the target
• Above the target…. Allowing the bullet to fall
due to gravity
8) Which of the following would
achieve the greatest range (assume
landing at same height it was launched
from
)?
• 19 m/s @ 30°
• 25 m/s @ 22°
• 27 m/s @ 21°
27 m/s @ 21°
Δx=Vxt need to find both and multiply
9) If while travelling at a constant
velocity in a straight line in a car you
fire a gun directly upwards, where will
the bullet land. (ignore air resistance)
• A. In the car
• B. Ahead of the car
• C. Behind the car
• In the car…. Bullet maintains horizontal speed
of the car while in flight
10) A projectile is launched at 24 m/s
@ 42°, how long will it take to reach its
highest point?
• 1.6 seconds
11) A projectile is launched at 42 m/s
@25°and lands back at the same
height it was shot from.
• What is its vertical velocity at its highest point?
• What is its horizontal velocity at its highest point?
• With what vertical velocity does it hit the ground
with?
• With what horizontal velocity does it hit the
ground with?
• With what total (resultant) velocity does it hit the
ground with?
What is its vertical velocity at its highest point? 0 m/s
What is its horizontal velocity at its highest point? 42cos25
With what vertical velocity does it hit the ground with? 42sin25
With what horizontal velocity does it hit the ground with?42cos25
With what total (resultant) velocity does it hit the ground with? 42 m/s
• 12) A projectile is launched horizontally off a
45 m tall cliff with a velocity of 9.0 m/s. How
far away from the base of the cliff did it land?
• 27.3 meters
A projectile is fired at an angle of 25
degrees… which is larger, its xcomponent of velocity, or its ycomponent of velocity?
• X component
• A bird is flying 20.0 m above the ground at a
horizontal speed of 5.0 m/s, if it drops a twig…
– A) how far will the twig have travelled horizontally
from its release point to where it hits the ground?
– B) with what velocity (mag & dir) does it hit the
ground?
• A) 10.1 m
• B) 20.4 m/s @ 75.8°
• Relative to a stationary observer Car A is
travelling 40 mph East and Car B is travelling
50 mph West, what is the speed of Car B
relative to Car A?
• 90 mph W
• Relative to a stationary observer Car A is
travelling 40 mph West and Car B is travelling
50 mph West, what is the speed of Car B
relative to Car A?
• 10 mph West
• Problem 17, 18, 25/26, 57, 60, 72,74, 77, 78,
84, 86, 87
• A projectile rolls off of a horizontal cliff with a
velocity of 6.0 m/s, what is the vertical
component of its initial velocity?
• 0 m/s
• Vector A has a magnitude of 18m and points
in the direction of 20° above the negative xaxis. Vector B has a magnitude of 30 m and
points in the direction of 50° above the
positive x-axis.
• Draw and determine the mag & dir of A + B
and A-B
• Columbus is 160 miles away from the state of
Indiana. If you travelled 200 miles away from
Columbus at 38° N of W…
• Did you make it into Indiana?
• No, x-component = 157.6 miles < 160 miles