Speed and acceleration are NOT the same thing!
By MUNGAI KIHANYA
The Sunday Nation
Nairobi,
02 December 2012
Why is it so hard to understand that 100 kilometres per hour means that
if you maintain that sped for one hour, you will travel 100km? I would
think it is obvious, but apparently, it isn’t. Thus I keep getting
questions from readers suggesting that vehicles with large wheels
(buses, lorries etc) move faster than those with smaller ones even when
both are travelling at the same speed!
The most recent suggestions is even more curious. Abraham Murithi
writes: “My friend and I have two types of [Toyota] Harriers. Mine is
3,000cc while his 2,500cc but driving at a speed of 100km/h, I overtake
him with ease. Remember you told us a small car and a bus, each at the
same acceleration, the time taken to cover [the] same distance is the
same irrespective of tyre circumference. How does engine capacity vary
with acceleration of two particles A and B?”
Now Abraham is mixing up two quantities: speed and acceleration. The
100km/h that he is talking about is the speed. If the two cars are
driven with their speedometers showing 100km/h and one overtakes the
other, then my conclusion would be that at least one of them has a badly
calibrated speedo. When it shows 100km/h, the car is could actually be
doing something like 120km/h or even 80km/h.
To get an idea of which of the two has a bad speedometer, Abraham may
invite a third friend with a totally different car. Chances are that,
when all are showing 100km/h on the speedo, two will stay together while
the third will either be left behind or move ahead. The one that gets
out of the formation has a bad speedo.
But
Abraham writes that “Remember you told us a small car and a bus each at
the same acceleration the time
taken to cover same distance is the same…” Now that is not true. I have
never written or implied such a thing! However, I did write that if a
car and a bus are moving at the same
speed, the time taken over a
given distance is the same – regardless of the tyre circumference.
Speed and acceleration are not the same! Acceleration is the rate at
which speed changes. For example, when car manufacturers give the time
taken to reach 100km/h, they are talking about acceleration. But when we
state the time taken to cover a certain distance, this speed… or more
accurately, average speed.
It is not clear which of these two quantities Abraham has in mind. But,
from the reported experiment, I strongly suspect that he is referring to
acceleration – the time taken to reach 100km/h. In that case, it is
perfectly reasonable to expect that the car with a 3,000cc engine will
accelerate faster than the one with 2,500cc.
But life does not go on straight lines: we should not assume that bigger
engines always produce greater acceleration! After all; you wouldn’t
expect a 7,000cc lorry to reach 100km/h faster that an ordinary 1,500cc
saloon car, would you?
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