WorksheetsPhysics and Vector Quiz
Total questions: 22
Worksheet time: 15mins
If two vectors are given such that A + B = 0, what can you say about the magnitude and direction of vectors A and B?
same magnitude, but can be in any direction
same magnitude, but must be in the same direction
different magnitudes, but must be in the same direction
same magnitude, but must be in opposite directions
different magnitudes, but must be in opposite directions
Given that A + B = C, and that lAl 2 + lBl 2 = lCl 2, how are vectors A and B oriented with respect to each other?
they are perpendicular to each other
they are parallel and in the same direction
they are parallel but in the opposite direction
they are at 45° to each other
they can be at any angle to each other
Given that A + B = C, and that lAl + lBl = lCl , how are vectors A and B oriented with respect to each other?
they are perpendicular to each other
they are parallel and in the same direction
they are parallel but in the opposite direction
they are at 45° to each other
they can be at any angle to each other
If each component of a vector is doubled, what happens to the angle of that vector?
it doubles
it increases, but by less than double
it does not change
it is reduced by half
it decreases, but not as much as half
A certain vector has x and y components that are equal in magnitude. Which of the following is a possible angle for this vector in a standard x-y coordinate system?
30°
180°
90°
60°
45°
You are adding vectors of length 20 and 40 units. What is the only possible resultant magnitude that you can obtain out of the following choices?
0
18
37
64
100
A small cart is rolling at constant velocity on a flat track. It fires a ball straight up into the air as it moves. After it is fired, what happens to the ball?
it depends on how fast the cart is moving
it falls behind the cart
it falls in front of the cart
it falls right back into the cart
it remains at rest
Now the cart is being pulled along a horizontal track by an external force (a weight hanging over the table edge) and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball?
it depends upon how much the track is tilted
it falls behind the cart
it falls in front of the cart
it falls right back into the cart
it remains at rest
The same small cart is now rolling down an inclined track and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball?
it depends upon how much the track is tilted
it falls behind the cart
it falls in front of the cart
it falls right back into the cart
it remains at rest
You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will:
quickly lag behind the plane while falling
remain vertically under the plane while falling
move ahead of the plane while falling
not fall at all
From the same height (and at the same time), one ball is dropped and another ball is fired horizontally. Which one will hit the ground first?
the “dropped” ball
the “fired” ball
they both hit at the same time
it depends on how hard the ball was fired
it depends on the initial height
In the previous problem, which ball has the greater velocity at ground level?
the “dropped” ball
the “fired” ball
neither—they both have the same velocity on impact
it depends on how hard the ball was thrown
A projectile is launched from the ground at an angle of 30°. At what point in its trajectory does this projectile have the least speed?
just after it is launched
at the highest point in its flight
just before it hits the ground
halfway between the ground and the highest point
speed is always constant
The spring-loaded gun can launch projectiles at different angles with the same launch speed. At what angle should the projectile be launched in order to travel the greatest distance before landing?
15°
30°
45°
60°
75°
A plane flies exactly 200 km/h in a direction 20.0° west of south.
How far west of its starting point is the plane after 3 h?
(a)
A plane flies exactly 200 km/h in a direction 20.0° west of south.
How far south is the plane in the same time?
(a)
A student walks exactly 4 blocks at 30.0° N of E and then walks exactly 6 blocks NW.
Add the two vectors mathematically and find the direction and magnitude of the resultant.
(a)
The captain of a boat wants to navigate due north across a river that has a current of 3.0 m/s directed to the east. The boat travels at a speed of 10.0 m/s relative to the water. In what direction should the boat aim so as to travel directly across the river?
(a)
A plane is flying 100 m/s headed due east. It turns south and flies at 150 m/s due south.
(b) Calculate the magnitude and direction of the change in velocity.
(c) If the turn took 30 s, what was the magnitude of the average acceleration? What was the direction?
(a)
A football is punted from one end of the field to the other.
(a) what will a graph of the value of the horizontal component of the velocity as a function of time look like
(b) what will a graph of the value of the vertical component of the velocity as a function of time.
(c) what will a graph of the value of the vertical acceleration of the ball as a function of time.
(a)
A marble is thrown out the window at a speed of 5.00 m/s at an angle of 20.0° above the horizontal. The window is 4.50 m above the ground.
(a) What is the horizontal component of the marble’s velocity just before it strikes the ground?
(b) What is the vertical component of the marble’s velocity just before it strikes the ground?
(c) What is the marble’s speed just before it strikes the ground?
(a)
Ariya Jutanugarn was the first female Thai golfer to win a major championship. She is practicing hitting golf balls at a driving range. One shot goes at a speed of 30 m/s at an angle of 25° above the horizontal. She is at the top level of the driving range, 10 m above the ground.
(a) How far does the ball go horizontally before it strikes the ground?
(b) What speed does the ball have just before it strikes the ground?
(a)
