Vii Function
Vii Function
Maths help?
i have 40 km to go and how long will it take me to get home (minutes) if my average velocity is:
(i) 60 kph?
(ii) 80 kph?
then I have to complete a table assuming my average velocity is V kph and the time needed to get home is t minutes
(iii)
V (kph) t (mins)
40 ?
60 ?
80 ?
100 ?
(iv) find a formula for t as a function of F
(v) find a formula of dt/dV
(vi) what are the units for dt/dV?
(vii) last one, how much time will i save if, instead of travelling with an average velocity of 80 kph, you increase your average velocity to 84 kph?
thanks in advance, ill instantly give 10 points right away to anyone who can answer!
yeah sorry it was suppose to be V not F
i. 40km/60km/hr * 60min/hr = 40 minutes
ii 40km/80km/hr * 60min/hr = 30 minutes
iii.
V...........t
40........60
60.......40
80.......30
100.....24
iv. You have not defined f
t = (40/v) * 60 = 2400/v where t is in minutes and v is in km/hr
v. dt/dv = -2400/v²
vi. Units: s/(km/hr)² = s.hr²/km² which can be converted to s³/m² with a constant factor of proportionality
vii. 2400/80 - 2400/84 = 30 - 28.57 ≈ 1 minute and 26 seconds
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