Choose the graph that best represents the following:
An aircraft's speed (Y) during landing as a function of time (X).
Choose the graph that best represents the following:
An aircraft's speed (Y) during landing as a function of time (X).
Choose the graph that best describes the following:
The acceleration of a ball (Y) after throwing it from a building as a function of time (X).
Choose the graph that best describes the following:
The height of a basketball (Y) when a player bounces it as a function of time (X).
Choose the graph that best represents the following:
The height of a child (Y) when jumping on a trampoline as a function of time (X).
Select the graph that best demonstrates the following trend:
A sprinter who runs at a certain speed (Y) and gradually gets tired over time (X).
Choose the graph that best represents the following:
An aircraft's speed (Y) during landing as a function of time (X).
The speed of the airplane decreases until it reaches the ground and stops (reaches 0).
Therefore, the graph will be descending until it reaches 0.
The graph shown in answer A is correct.
Choose the graph that best describes the following:
The acceleration of a ball (Y) after throwing it from a building as a function of time (X).
Since acceleration is dependent on time, it will be constant.
The force of gravity on Earth is constant, meaning the velocity of Earth's gravity is constant and therefore the graph will be straight.
The graph that appears in answer B satisfies this.
Choose the graph that best describes the following:
The height of a basketball (Y) when a player bounces it as a function of time (X).
When the player dribbles the ball, it starts from hand height and then moves downwards to touch the floor before bouncing up again. This motion is repeated.
In other words, the ball starts from a height, touches the floor at height 0, and then returns to the player's hand repeatedly.
This means that the graph will have an up and down motion and therefore the graph in answer (b) is correct.
Choose the graph that best represents the following:
The height of a child (Y) when jumping on a trampoline as a function of time (X).
When the child jumps on the trampoline, their height changes. At the peak of the jump, they are at the highest point; when they land, they are at the lowest point. As they are bouncing on a trampoline, this up and down motion is repeated.
Therefore, in the correct graph we must see "ups" and "downs" and, therefore, the graph in answer A is the correct one.
Select the graph that best demonstrates the following trend:
A sprinter who runs at a certain speed (Y) and gradually gets tired over time (X).
The runner starts at a high speed and as time passes, he loses his strength and runs slower.
In other words, the graph will be descending, and therefore answer C is correct.
Choose the graph that best represents the following:
The speed of a car (Y) as it travels at a constant speed as a function of time (X).
Choose the graph that best describes the following:
Amount of fuel in a car (Y) while driving as a function of time (X).
Choose the graph that best describes the following:
Temperature of boiling water (Y) left to cool at room temperature as a function of time (X).
Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
Choose the graph that best describes the following:
The velocity of a heavy stone (Y) after being dropped from a great height as a function of time (X).
Choose the graph that best represents the following:
The speed of a car (Y) as it travels at a constant speed as a function of time (X).
Since the car's speed is constant and does not change throughout the journey, the graph will be constant.
The graph shown in answer D describes this correctly.
Choose the graph that best describes the following:
Amount of fuel in a car (Y) while driving as a function of time (X).
Given that the vehicle uses fuel for engine operation, the fuel decreases over time.
The more the vehicle travels, the more the amount of fuel decreases.
The graph that correctly describes this is B.
Choose the graph that best describes the following:
Temperature of boiling water (Y) left to cool at room temperature as a function of time (X).
The temperature of boiling water is roughly 100 degrees Celsius.
Room temperature is about 25 degrees.
Therefore, in the correct graph we will see a downward trend which will end above the X-axis (since the room is not frozen, the temperature will not reach 0).
The graph that describes this is graph C.
Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
Given that the velocity is directly proportional to the acceleration and given that the acceleration is constant, the graph must be a straight line.
The diagram that describes this is (d).
Choose the graph that best describes the following:
The velocity of a heavy stone (Y) after being dropped from a great height as a function of time (X).
Since the velocity depends on the acceleration in a direct relationship, and since the acceleration is constant, the graph must have a straight slope.
Since the graph in answer D describes a constant function, this is the correct answer.
Choose the graph that best represents the following:
Temperature of lukewarm water (Y) after placing in the freezer as a function of time (X).
Choose the graph that best represents the following:
Temperature of lukewarm water (Y) after placing in the freezer as a function of time (X).
Since the freezing point of water is below 0, the temperature of the water must drop below 0.
The graph in answer B describes a decreasing function and therefore this is the correct answer.