Bloodhound Maths Exercise!
Ambassador’s Notes!
!
!
10-15 minute introduction to include:!
!
• 
Q&A – what is the current record?!
• 
Video – top 10 Fastest!
• 
Introduce how the record is measured!
• 
Q&A – how does Blooodhound get up to 1000mph?!
• 
Video – The Performance Curve!
• 
Q&A – what could go wrong? (draw out source of
possible problems, difference between systematic
and random errors)!
• 
The task!
•  Work in pairs!
•  You are engineers!
•  Analyse data from 3 attempts. For each
attempt:!
•  Was it a record?!
•  If not why not – diagnose problem!
•  Suggest a practical solution!
•  First to complete wins!
•  There is a more difficult ‘Gold’ version –
you choose. Upgrade at any time!
•  Stuck? Just ask for help!
!
!
Attempt 1 solution!
Speed = the gradient of a Distance v. Time Graph = Difference in Y ÷ Difference in X!
6.5 miles from the start of each run!
5.5 miles and ______
The mile is measured between _____
60
3600
1 mile per second = _________________miles
per minute = _________________
miles per hour!
!
Calculating the Average speed of the Outward Run!
!
Using the outward run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.5 miles = _______
8.00 seconds!
5.5 miles = _______
1.65 seconds! ±0.05
6.35 seconds!
Difference = Time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
+ve gradient shows
outward run
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
6.35 seconds!
Therefore "
"Outward speed
= 1 mile / _________
"
"
"
"
"
"
" = ___________
0.16 miles per second!
"
"
"
"
"
"
" = ___________
576.00 miles per hour!
!
!
Calculating the Average speed of the Return Run!
!
Using the Return run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.00 seconds!
6.5 miles = _______
±0.05
5.5 miles = 1.30
_______ seconds!
4.70 seconds!
Difference = time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
-ve gradient shows
return in opp direction
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
4.70 seconds!
Therefore "
"Return speed = 1 mile / _________
0.21
"
"
"
"
"
"
" = ___________
miles per second!
"
"
"
"
"
"
" = 756.00
___________ miles per hour!
!
!
Calculating the Average!
Attempt speed = Outward speed + Return speed!
"
"
"
"
"2!
"
"
"!
666.00 miles per hour!
"
"
= _________________
Attempt 2 solution!
Speed = the gradient of a Distance v. Time Graph = Difference in Y ÷ Difference in X!
6.5 miles from the start of each run!
5.5 miles and ______
The mile is measured between _____
60
3600
1 mile per second = _________________miles
per minute = _________________
miles per hour!
!
Calculating the Average speed of the Outward Run!
!
Using the outward run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.5 miles = _______
6.45 seconds!
5.5 miles = _______
2.65 seconds! ±0.05
3.80 seconds!
Difference = Time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
+ve gradient shows
outward run
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
3.80 seconds!
Therefore "
"Outward speed
= 1 mile / _________
"
"
"
"
"
"
" = ___________
0.26 miles per second!
"
"
"
"
"
"
" = ___________
936.00 miles per hour!
!
!
Calculating the Average speed of the Return Run!
!
Using the Return run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.50 seconds!
6.5 miles = _______
±0.05
5.5 miles = 2.95
_______ seconds!
3.55 seconds!
Difference = time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
-ve gradient shows
return in opp direction
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
3.55 seconds!
Therefore "
"Return speed = 1 mile / _________
0.28 miles per second!
"
"
"
"
"
"
" = ___________
"
"
"
"
"
"
" =1008.00
___________ miles per hour!
!
!
Calculating the Average!
Attempt speed = Outward speed + Return speed!
"
"
"
"
"2!
"
"
"!
972.00
"
"
= _________________
miles per hour!
Attempt 3 solution!
Speed = the gradient of a Distance v. Time Graph = Difference in Y ÷ Difference in X!
6.5 miles from the start of each run!
5.5 miles and ______
The mile is measured between _____
60
3600
1 mile per second = _________________miles
per minute = _________________
miles per hour!
!
Calculating the Average speed of the Outward Run!
!
Using the outward run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.5 miles = _______
5.50 seconds!
5.5 miles = _______
1.95 seconds! ±0.05
3.55 seconds!
Difference = Time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
+ve gradient shows
outward run
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
3.55 seconds!
Therefore "
"Outward speed
= 1 mile / _________
"
"
"
"
"
"
" = ___________
0.28 miles per second!
"
"
"
"
"
"
" = 1008.00
___________ miles per hour!
!
!
Calculating the Average speed of the Return Run!
!
Using the Return run graph, find the following points on the y-axis (distance) and
note their x-axis values (time)!
!
6.20 seconds!
6.5 miles = _______
±0.05
5.5 miles = 2.75
_______ seconds!
3.45 seconds!
Difference = time for 1 mile = ________
!
For Gold:
6.5 miles = 8.86km
5.5 miles = 10.46km
-ve gradient shows
return in opp direction
Use the equation Average Speed =
"Distance travelled!
"
"
"
"
"
"Time taken to travel that distance!
3.45 seconds!
Therefore "
"Return speed = 1 mile / _________
0.29
"
"
"
"
"
"
" = ___________
miles per second!
"
"
"
"
"
"
" =1044.00
___________ miles per hour!
!
!
Calculating the Average!
Attempt speed = Outward speed + Return speed!
"
"
"
"
"2!
"
"
"!
1026.00 miles per hour!
"
"
= _________________
Explanations:!
!
!
Attempt 1!
There is a systematic error. Speed is around 1008mph
then after 4-5 seconds the car slows prematurely.
Possible issues: Rocket deployed too soon or air brakes
deployed too soon (driver error), or error with rocket
fuelling system. Driver error less likely to be systematic,
therefore more likely to be issue with rocket system or
driver instrumentation.
Plausible Recommendations: Check rocket deployment
and fuelling system and/or instrumentation.
!
!
Attempt 2!
The previous fault has now been fixed. There is now a
random error seen in the outward run as a dip in speed
between 5 and 6 seconds. The return run is on target.
Possible Causes: Winds were forecast as gusting in a SE
direction causing sudden extra drag, possible surface
anomaly on the track.
Plausible Recommendations: Check weather forecast for
next day, inspect the track around the measured mile
!
!
Attempt 3!
Record Broken!
!
!
If the graph scale is proving difficult use as an
eyEball guide:!
!
!
! 0.00 0.25 0.50 0.75 0.05 0.30 0.55 0.80 0.10 0.35 0.60 0.85 0.15 0.40 0.65 0.90 0.20 0.45 0.70 0.95 0.25 0.50 0.75 1.00 A Vision of the Future…!
Introduction to students to include:!
Future Engineer !
• 
Remind how Bloodhound SSC is Powered!
• 
It is now 2025 and you need to design your own car!
• 
Aim to achieve maximum thrust with the combination of Engines
and/or Rockets that you Think is best!
• 
There is no right answer to this! You need to use your
judgement and creativity. Be mindful of just some of the
decisions need to be taken e.g.!
•  How much forward thrust is achievable?!
•  How risky is the technology?!
•  Can we work in partnership with suppliers?!
•  Should this be a 100% british project?!
• 
Suggest Start by getting to grips with what the graphs are
telling you and take it from there…!
• 
If you think you need more information, go with your best shot
and list the information you think will help you confirm your
decision or otherwise!