Questions and Answers
What is the formula to find the total distance travelled from a velocity-time graph?
What is the ratio between the accelerations of an object accelerating from rest in a time t1 and decelerating back to rest in a time t2?
Two objects are moving towards each other with different initial velocities. What is the distance between them?
What is the condition for one object to overtake another?
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What is the acceleration due to gravity near the Earth’s surface?
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What is the easiest way to find the area underneath a v-t graph?
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What is the condition for one object to fully pass another?
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What can velocity-time graphs show?
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What is the quantity that links the five important quantities of motion?
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What is the assumption made for objects accelerating from rest and decelerating back to rest?
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Study Notes
Equations of Motion
- Describe motion using 5 quantities: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time taken (t)
- Four equations link these quantities together
Velocity-Time Graphs
- Display information about an object's changing speed over time
- Can show velocity, acceleration, and distance traveled
- Area underneath v-t graph gives total distance traveled
- Split shape into triangles and trapezoids to find area easily
Rest to Rest
- Object accelerates from rest in time t1 and decelerates back to rest in time t2
- Ratio of accelerations equals ratio of times
Two Bodies - Moving Towards Each Other
- Distance between two bodies is sum of objects' displacements from shared origin point
Catching Up
- Object will overtake another when both have same displacement from a certain point
- If one object starts ahead, add distance to equation
- If objects start at same point but at different times, add time difference to equation
Passing
- One object must cover distance equal to total length of both objects to fully pass the other
- Difference in displacements of both objects must equal this distance
Acceleration due to Gravity
- Only force acting on an object in free fall is gravity
- Gravity causes objects to accelerate towards the ground at constant 9.8 m/s2 near Earth's surface
- Steps for a free fall question:
- Identify equation of motion with one unknown variable
- Substitute known values, including a = -9.8 m/s2
- Solve for unknown; for maximum height, speed is 0
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Description
Learn about the five quantities used to describe an object's motion with constant acceleration: displacement, initial velocity, final velocity, acceleration, and time taken. Understand how to use velocity-time graphs to display information about an object's changing speed over time.