B: Physics = Changes in Motion 1.6 Calculating Displacement During Accelerated Motion Flashcards

1
Q

What is the displacement equation used for?

A

Analyzing accelerated motion

The displacement equation allows for calculations without needing a velocity-time graph.

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2
Q

What should you do first when solving problems involving the displacement equation?

A

List the data with unit conversions

This helps organize information and clarify what is known and what needs to be found.

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3
Q

What are the key components of the displacement equation?

A

Initial velocity, final velocity, displacement, time interval

These components are necessary to calculate displacement in motion.

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4
Q

Fill in the blank: The displacement equation is a useful tool for analyzing _______.

A

[accelerated motion]

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5
Q

True or False: You need to start with a velocity-time graph to use the displacement equation.

A

False

The displacement equation can be used without a velocity-time graph.

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6
Q

What is the benefit of using the displacement equation in problem-solving?

A

You don’t have to start with a velocity-time graph

This simplifies the process of analyzing motion.

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7
Q

What is the average acceleration due to gravity?

A

9.81 m/s²

This value is often used in physics problems involving objects in free fall.

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8
Q

What equation is useful for solving problems involving the motion of vehicles on a highway?

A

Displacement equation

This equation can also be applied to any circumstance describing accelerated motion.

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9
Q

In the context of diving from a high platform, what can be ignored if the distances are not too great?

A

Air resistance

Ignoring air resistance simplifies the calculations of motion through the air.

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10
Q

When a diver falls near Earth’s surface, in what direction does the motion occur?

A

Straight down towards the center of the planet

This direction is consistent with the force of gravity acting on the diver.

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11
Q

What must be considered when solving problems involving displacement, velocity, and acceleration in air?

A

Vector nature of these quantities

The direction and magnitude of these vectors are crucial for accurate calculations.

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12
Q

Fill in the blank: The displacement equation is not only useful for solving problems involving the motion of vehicles on a highway, it can be applied in any circumstance describing _______.

A

accelerated motion

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13
Q

True or False: The initial velocity of a baseball can be determined by calculating its motion after it leaves the bat.

A

True

This requires applying principles of motion and possibly using the displacement equation.

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14
Q

What type of problems frequently involve displacement, velocity, and acceleration near Earth’s surface?

A

Problems involving objects moving through the air

These problems often require consideration of gravitational effects.

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15
Q

What is the significance of including the value of acceleration due to gravity in problem-solving?

A

It is expected knowledge

This value is often not included with the data because it is assumed that students will know when to apply it.

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16
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

What is the time it takes for a baseball to travel above the bat in the example problem?

A

1.8 seconds

This is a key piece of data for calculating the initial velocity of the baseball.

17
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

What is the highest point reached by the baseball above the bat?

A

15.9 m

The ball travels straight up into the air.

18
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

How long does it take for the baseball to reach its highest point?

A

1.8 s

This is the time taken to reach the maximum height.

19
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

What is the initial velocity of the baseball as calculated using the displacement equation?

A

18 m/s [up]

This is determined using the displacement equation.

20
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

What is the final velocity of the baseball at its highest point?

A

0 m/s

The ball stops at its highest point.

21
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

What is the acceleration of the baseball during its upward motion?

A

-9.81 m/s²

This is the acceleration due to gravity acting downwards.

22
Q

A baseball leaves a bat and travels straight up into the air, reaching its highest point 15.9 m above the bat in just 1.8 s.

Fill in the blank: The initial velocity of the ball can also be calculated using the equation vf - vi = (-a)(Δt), resulting in _______.

A

18 m/s [up]

This confirms the initial velocity calculated previously.

23
Q

True or False: The initial velocity and the final velocity of the baseball at the highest point are the same.

A

False

The initial velocity is 18 m/s [up] and the final velocity at the highest point is 0 m/s.

24
Q

What is the significance of the second displacement equation?

A

It allows for a simpler, more direct approach to calculating displacement.

25
Q

What variables are involved in the second displacement equation?

A

Initial velocity, acceleration, displacement, time interval.

26
Q

In the second displacement equation, what is the caution to remember?

A

You have to be careful to remember to square the time interval in the second half of the equation.

27
Q

Fill in the blank: The second displacement equation includes _______ and acceleration.

A

[initial velocity]

28
Q

True or False: The displacement equation is more complex than the first displacement equation

A

False

29
Q

What are the different equations you can get from a velocity-time graph to represent displacement?

A