Vector Fun
When you walk 3 meters north, then 4 meters east, this is the magnitude of your displacement.
What is 5 meters?
Neglecting air resistance, all projectiles follow this geometric shape in their path.
What is a parabola?
When a ball is thrown horizontally from a cliff, its initial vertical velocity is this value.
What is zero?
For maximum range on level ground, a projectile should be launched at this angle.
What is 45°?
In projectile motion, you should analyze horizontal and vertical motions using this approach.
What is independently (or separately)?
A plane flies at 200 km/h at 30° north of east. The eastward component of its velocity is approximately this value.
What is 173 km/h?
A ball is thrown upward at an angle. At the peak of its flight, this velocity component equals zero.
What is the vertical component vy?
A marble rolls off a 5-meter high table, the time to hit the floor is this.
What is 1.01 second?
A ball is kicked at 20 m/s at 60° above horizontal. Its initial vertical velocity component is this.
What is 17.4 m/s?
When solving for time of flight, you typically use kinematic equations for this direction of motion.
What is vertical?
A velocity vector makes a 60° angle with the horizontal. If the horizontal component is 15 m/s, the magnitude of the original vector is this.
What is 30 m/s?
A projectile fired at this angle will have the greatest height.
What is 90°?
A projectile is launched horizontally at 25 m/s from a 45-meter height. The horizontal velocity just before impact is this.
What is 25 m/s?
A projectile is fired at 50 m/s at 30° above horizontal. Its range on level ground is approximately this distance.
What is 217 meters?
To find the range of a projectile, you multiply the horizontal velocity by this quantity.
What is the total time of flight?
The components of the resultant vector when the following vectors are added: 10 m east, 8 m at 143° from east
What is 3.6 m east and 4.8 m north?
A projectile reaches maximum height in 2.5 seconds. Its total flight time is this value, assuming it returns to the same height.
What is 5.0 seconds?
A plane is traveling at 60 m/s and drops a package 120m from its intended target. This is the time it will take the package to reach its destination.
What is 2 seconds?
A projectile launched at 30° travels farther than the same projectile launched at this steeper angle with the same initial speed. (angles range from 0-90°)
What is any angle greater than 60°?
A stone thrown at 20 m/s at 45° has equal values for these two initial values.
A: What are velocity in the x and y directions? (Both equal 20/2≈14.120/2≈14.1 m/s)
A boat is sailing across a river at a speed of 5 m/s relative to the water at an angle of 15° west of north. The water is moving at 1.3 m/s east with relative to the shore. This is the x-component of the resultant velocity.
What is 0 m/s?
Two balls are released simultaneously from 5 meters: one dropped, one thrown horizontally at 15 m/s. The horizontal ball lands this distance from the vertical ball.
What is 15 m?
A plane is traveling at 60 m/s and drops a package 120m from its intended target. This is the distance from the ground from which it was dropped.
What is 19.6 meters?
A football is kicked at 25 m/s at 37° above horizontal. The time to reach maximum height is this.
What is 1.5 seconds?
These three conditions must be met to be able to use the range equation.
What is launch at an angle, non-zero initial velocity, and no overall change in height? (is a projectile, also acceptable)
A projectile is launched from ground level at an angle of 26 degrees above the horizon. It lands back on the ground 4.0 seconds after launch at a horizontal distance of 160 meters from the launch point. Determine the initial speed.
What is 44.6 m/s?