Choose the graph that best describes the following:
Temperature of hot water (Y) placed on a table at room temperature as a function of time (X).
Choose the graph that best describes the following:
Temperature of hot water (Y) placed on a table at room temperature 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 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 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:
A sprinter who runs at a certain speed (Y) and gradually gets tired over time (X).
Choose the graph that best describes the following:
Temperature of hot water (Y) placed on a table at room temperature as a function of time (X).
The temperature of hot water is about 80 degrees.
Room temperature is about 25 degrees.
Therefore, the graph we will see will have a downward trend, and at the end of the time, the value will be above the X-axis (since the room is not frozen, the temperature will not reach freezing point)
The graph that describes this is graph C.
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 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 describes the following:
Amount of fuel in a car (Y) while driving as a function of time (X).
Since 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:
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 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 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 represents the following:
An aircraft's speed (Y) during landing as a function of time (X).
Choose the graph that best represents the following:
Height of a child (Y) when jumping on a trampoline 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).
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 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 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 represents the following:
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, and then they land back down to a lower height.
In other words, the action repeats itself, and the graph we'll see will show ups and downs. Therefore, the graph in answer A is the correct one.
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.
Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
Choose the graph that represents the following:
The length of a burning candle (Y) according to burning time (X).
Since the velocity is directly proportional to the acceleration and since the acceleration is constant, the graph must be a straight line.
The s diagram that describes this is (d).