Difference between revisions of "SUVAT"
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| style="height:20px; width:200px; text-align:center;" |A [[wave]] travels 1000m in a time of 12.5s. Calculate the [[magnitude]] of the [[velocity]] of the [[wave]] correct to two [[Significant Figures|significant figures]]. | | style="height:20px; width:200px; text-align:center;" |A [[wave]] travels 1000m in a time of 12.5s. Calculate the [[magnitude]] of the [[velocity]] of the [[wave]] correct to two [[Significant Figures|significant figures]]. | ||
| − | | style="height:20px; width:200px; text-align:center;" |[[The Moon]] is approximately 390,000km away from the Earth. | + | | style="height:20px; width:200px; text-align:center;" |[[The Moon]] is approximately 390,000km away from the Earth. A [[Radio Wave]] travels at 300,000,000m/s from [[The Moon]] to the [[Earth]]. Calculate the time taken by the [[Radio Wave]] to reach [[Earth]] correct to two [[Significant Figures|significant figures]]. |
| − | | style="height:20px; width:200px; text-align:center;" |An [[Alpha Particle|alpha particle]] | + | | style="height:20px; width:200px; text-align:center;" |An [[Alpha Particle|alpha particle]] travels for 4.0ns at a [[velocity]] of 15,000,000m/s before colliding with an [[air]] [[molecule]]. Calculate the [[displacement]] of the [[Alpha Particle|alpha particle]] from the start to the end of its journey correct to two [[Significant Figures|significant figures]]. |
|- | |- | ||
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities''' | | style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities''' | ||
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s = 390,000km = 390,000,000m | s = 390,000km = 390,000,000m | ||
| − | + | v = 300,000,000m/s | |
| style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities''' | | style="height:20px; width:200px; text-align:left;" |'''1. State the known quantities''' | ||
| − | s | + | v = 15,000,000m/s |
t = 4.0ns = 4.0 x 10<sup>-9</sup>m | t = 4.0ns = 4.0 x 10<sup>-9</sup>m | ||
|- | |- | ||
| − | | style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers | + | | style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' |
| − | |||
<math>v = \frac{s}{t}</math> | <math>v = \frac{s}{t}</math> | ||
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<math>v = 80m/s</math> | <math>v = 80m/s</math> | ||
| − | | style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers | + | | style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' |
| + | <math>v = \frac{s}{t}</math> | ||
| + | |||
| + | <math>300000000 = \frac{390000000}{t}</math> | ||
| + | | style="height:20px; width:200px; text-align:left;" |'''2. [[Substitute (Maths)|Substitute]] the numbers and [[Evaluate (Maths)|evaluate]].''' | ||
<math>v = \frac{s}{t}</math> | <math>v = \frac{s}{t}</math> | ||
| − | <math> | + | <math>15000000 = \frac{s}{4.0 \times 10^{-9}}</math> |
| + | |- | ||
| + | | style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' | ||
| + | |||
| + | Already solved. | ||
| + | | style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' | ||
| + | <math>300000000 = \frac{390000000}{t}</math> | ||
| + | |||
| + | <math>300000000t = 390000000</math> | ||
| − | <math> | + | <math>t = \frac{390000000}{300000000}</math> |
| − | | style="height:20px; width:200px; text-align:left;" |''' | + | <math>t = 1.3s</math> |
| + | | style="height:20px; width:200px; text-align:left;" |'''3. [[Rearrange (Maths)|Rearrange]] the equation and [[Solve (Maths)|solve]].''' | ||
| − | <math> | + | <math>15000000 = \frac{s}{4.0 \times 10^{-9}}</math> |
| − | <math> | + | <math>s = 15000000 \times 4.0 \times 10^{-9}</math> |
| − | <math> | + | <math>s = 0.060m</math> |
|} | |} | ||
| + | |||
====Using a, v, u and t==== | ====Using a, v, u and t==== | ||
====Using v, u a and s==== | ====Using v, u a and s==== | ||
Revision as of 15:53, 13 February 2019
Contents
Key Stage 4
Meaning
A suvat is an equation of motion for an object.
About suvat Equations
- suvat equations can be used to find one of these variables:
- Displacement (s) - How far an object is from its starting position.
- Initial Velocity (u) - The velocity of an object at the start.
- Final Velocity (v) - The velocity of an object at the end.
- Acceleration (a) - The rate of change of velocity.
- Time (t) - The time taken between to points on a journey.
Equations
\(v=\frac{s}{t}\)
\(a=\frac{v-u}{t}\)
\(v^2=u^2 + 2as\)
Example Calculations
Using v, s and t
| A wave travels 1000m in a time of 12.5s. Calculate the magnitude of the velocity of the wave correct to two significant figures. | The Moon is approximately 390,000km away from the Earth. A Radio Wave travels at 300,000,000m/s from The Moon to the Earth. Calculate the time taken by the Radio Wave to reach Earth correct to two significant figures. | An alpha particle travels for 4.0ns at a velocity of 15,000,000m/s before colliding with an air molecule. Calculate the displacement of the alpha particle from the start to the end of its journey correct to two significant figures. |
| 1. State the known quantities
s = 1000m t = 12.5s |
1. State the known quantities
s = 390,000km = 390,000,000m v = 300,000,000m/s |
1. State the known quantities
v = 15,000,000m/s t = 4.0ns = 4.0 x 10-9m |
| 2. Substitute the numbers and evaluate.
\(v = \frac{s}{t}\) \(v = \frac{1000}{12.5}\) \(v = 80m/s\) |
2. Substitute the numbers and evaluate.
\(v = \frac{s}{t}\) \(300000000 = \frac{390000000}{t}\) |
2. Substitute the numbers and evaluate.
\(v = \frac{s}{t}\) \(15000000 = \frac{s}{4.0 \times 10^{-9}}\) |
| 3. Rearrange the equation and solve.
Already solved. |
3. Rearrange the equation and solve.
\(300000000 = \frac{390000000}{t}\) \(300000000t = 390000000\) \(t = \frac{390000000}{300000000}\) \(t = 1.3s\) |
3. Rearrange the equation and solve.
\(15000000 = \frac{s}{4.0 \times 10^{-9}}\) \(s = 15000000 \times 4.0 \times 10^{-9}\) \(s = 0.060m\) |