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Questions and Answers
Which SUVAT equation would you use to determine final velocity when displacement is not needed?
Which SUVAT equation would you use to determine final velocity when displacement is not needed?
- s = ut + rac{1}{2} at^2
- v² = u² + 2as
- v = u + at (correct)
- s = vt - rac{1}{2} at^2
The displacement (s) can be calculated using the equation v = u + at.
The displacement (s) can be calculated using the equation v = u + at.
False (B)
What are the units for acceleration in the SUVAT equations?
What are the units for acceleration in the SUVAT equations?
meters per second squared (m/s²)
The equation used to find displacement when initial velocity is not needed is s = vt - ______.
The equation used to find displacement when initial velocity is not needed is s = vt - ______.
Match the SUVAT variables with their meanings:
Match the SUVAT variables with their meanings:
Flashcards
SUVAT equations
SUVAT equations
Equations describing motion under constant acceleration using five variables: s, u, v, a, t.
Displacement (s)
Displacement (s)
The distance moved in a specific direction, measured in meters (m).
Initial velocity (u)
Initial velocity (u)
The speed of an object before it accelerates, measured in meters per second (m/s).
Final velocity (v)
Final velocity (v)
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Acceleration (a)
Acceleration (a)
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Study Notes
SUVAT Equations
- SUVAT equations describe motion in a straight line with constant acceleration
- Variables include:
- s = displacement (meters)
- u = initial velocity (meters per second)
- v = final velocity (meters per second)
- a = acceleration (meters per second squared)
- t = time (seconds)
Key SUVAT Equations
- 1. v = u + at: Relates velocity, acceleration, and time. Used when displacement is not needed.
- 2. s = ut + ½at²: Relates displacement, initial velocity, acceleration, and time. Used when final velocity is not known.
- 3. v² = u² + 2as: Relates velocity, acceleration, and displacement. Used when time is not involved.
- 4. s = ½(v + u)t: Relates displacement, initial and final velocities, and time. Used when acceleration is unknown.
- 5. s = vt - ½at²: Alternative form of the second equation. Used when initial velocity is not needed.
Example Problem
- A car accelerates from rest (u = 0 m/s) at 2 m/s² for 5 seconds (t = 5 s).
- Find its final velocity (v) and displacement (s).
- Final Velocity: Using v = u + at v = 0 m/s + (2 m/s²)(5 s) = 10 m/s
- Displacement: Using s = ut + ½at² s = (0 m/s)(5 s) + ½(2 m/s²)(5 s)² = 25 m
Additional Example
- A car reaches a velocity of 10 m/s and travels 25 meters in 5 seconds.
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