B: Physics = Changes in Motion 1.6 Calculating Displacement During Accelerated Motion Flashcards
What is the displacement equation used for?
Analyzing accelerated motion
The displacement equation allows for calculations without needing a velocity-time graph.
What should you do first when solving problems involving the displacement equation?
List the data with unit conversions
This helps organize information and clarify what is known and what needs to be found.
What are the key components of the displacement equation?
Initial velocity, final velocity, displacement, time interval
These components are necessary to calculate displacement in motion.
Fill in the blank: The displacement equation is a useful tool for analyzing _______.
[accelerated motion]
True or False: You need to start with a velocity-time graph to use the displacement equation.
False
The displacement equation can be used without a velocity-time graph.
What is the benefit of using the displacement equation in problem-solving?
You don’t have to start with a velocity-time graph
This simplifies the process of analyzing motion.
What is the average acceleration due to gravity?
9.81 m/s²
This value is often used in physics problems involving objects in free fall.
What equation is useful for solving problems involving the motion of vehicles on a highway?
Displacement equation
This equation can also be applied to any circumstance describing accelerated motion.
In the context of diving from a high platform, what can be ignored if the distances are not too great?
Air resistance
Ignoring air resistance simplifies the calculations of motion through the air.
When a diver falls near Earth’s surface, in what direction does the motion occur?
Straight down towards the center of the planet
This direction is consistent with the force of gravity acting on the diver.
What must be considered when solving problems involving displacement, velocity, and acceleration in air?
Vector nature of these quantities
The direction and magnitude of these vectors are crucial for accurate calculations.
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 _______.
accelerated motion
True or False: The initial velocity of a baseball can be determined by calculating its motion after it leaves the bat.
True
This requires applying principles of motion and possibly using the displacement equation.
What type of problems frequently involve displacement, velocity, and acceleration near Earth’s surface?
Problems involving objects moving through the air
These problems often require consideration of gravitational effects.
What is the significance of including the value of acceleration due to gravity in problem-solving?
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.
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?
1.8 seconds
This is a key piece of data for calculating the initial velocity of the baseball.
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?
15.9 m
The ball travels straight up into the air.
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?
1.8 s
This is the time taken to reach the maximum height.
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?
18 m/s [up]
This is determined using the displacement equation.
d–> = (vav–>)(t)
15.9 = ((vi+0)/2)(1.8)
15.9(2)/1.8 = vi
159/9 = vi
17 6/9 = vi
18 m/s = vi
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?
0 m/s
The ball stops at its highest point.
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?
-9.81 m/s²
This is the acceleration due to gravity acting downwards.
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 _______.
18 m/s [up]
This confirms the initial velocity calculated previously.
True or False: The initial velocity and the final velocity of the baseball at the highest point are the same.
False
The initial velocity is 18 m/s [up] and the final velocity at the highest point is 0 m/s.
What is the significance of the second displacement equation?
It allows for a simpler, more direct approach to calculating displacement.
What variables are involved in the second displacement equation?
Initial velocity, acceleration, displacement, time interval.
In the second displacement equation, what is the caution to remember?
You have to be careful to remember to square the time interval in the second half of the equation.
Fill in the blank: The second displacement equation includes _______ and acceleration.
[initial velocity]
True or False: The displacement equation is more complex than the first displacement equation
False
What are the different equations you can get from a velocity-time graph to represent displacement?
