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The SUVAT method

Jamie Z 2024-06-17

Learning Goals

  • I can calculate unknown measures of an object in one dimension

Method

1. Draw a simple sketch of the scenario. INCLUDE a frame of reference that identifies the positive (+) and negative (-) directions

2. For each time interval of constant acceleration, list ALL of the 5 Variables used to describe motion

  • S (m) = the displacement of the object from the start of this interval
  • U (ms-1) = the starting or initial velocity of this interval of time
  • V (ms-1) = the final velocity at the end of this interval of time
  • A (ms-2)= the constant acceleration during this interval of time
  • T (s) = the duration of this interval of time

3. Choose the equation(s) of motion that you will use to solve this problem

\[ a=\frac{v-u}{t} \]

  • Doesn’t include displacement (S)

\[ s=ut+\frac{1}{2}at^2 \]

  • Doesn’t include velocity (V)

\[ v^2=u^2+2as \]

  • Doesn’t include time (t)

Example

A helium balloon is released from rest and accelerates at 2m/s/s upwards for 4 seconds. What was the displacement of the balloon in this time?

s = ?

u = 0 m/s

v = X

a = 2 m/s/s

t = 4 s

\[ s=ut+\frac{1}{2}at^2 \ s = 0+\frac{1}{2}\]24^2 \ s= 16m \ Upwards \[\]