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Physics question? (suvat) UKCAT

Explain to me how is accelerating from rest to 60mph in 6s is equivalent to moving at 30mph for 6s????

The QR on the UKCAT mock 1 is unbelievably hard!!
Original post by bobwibbles
Explain to me how is accelerating from rest to 60mph in 6s is equivalent to moving at 30mph for 6s????

The QR on the UKCAT mock 1 is unbelievably hard!!


If you draw a graph of speed versus time for accelerating from rest to 60mph in 6s, you would get a straight line pass through the origin to 60 mph. The area under this graph is the distance travelled by the object in 6 s.

It is found by calculating the area of a triangle:

12×60 mph×6 s \frac{1}{2} \times 60 \text{ mph} \times 6 \text{ s}

Before computing the whole thing do a bit of simplification,

12×60 mph×6 s=30 mph×6 s \frac{1}{2} \times 60 \text{ mph} \times 6 \text{ s} = 30 \text{ mph} \times 6 \text{ s}

Actually, 30 mph is the average speed for the journey of accelerating from rest to 60mph in 6s.
Reply 3
Original post by Eimmanuel
If you draw a graph of speed versus time for accelerating from rest to 60mph in 6s, you would get a straight line pass through the origin to 60 mph. The area under this graph is the distance travelled by the object in 6 s.

It is found by calculating the area of a triangle:

12×60 mph×6 s \frac{1}{2} \times 60 \text{ mph} \times 6 \text{ s}

Before computing the whole thing do a bit of simplification,

12×60 mph×6 s=30 mph×6 s \frac{1}{2} \times 60 \text{ mph} \times 6 \text{ s} = 30 \text{ mph} \times 6 \text{ s}

Actually, 30 mph is the average speed for the journey of accelerating from rest to 60mph in 6s.


Ah makes sense. Thank you!

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