# A level maths help

Thread starter 3 years ago
#1
5. A swimmer and a fish set off from the same place at the same time. The swimmer swims in a straight line with constant velocity 1 ms-1. The fish accelerates uniformly from rest to U ms-1 in 2 seconds, then maintains this speed. It moves in a straight line throughout its motion, and overtakes the swimmer 5 seconds after they set off.
(a) Draw a velocity time graph to show the motion of the swimmer and the fish (b) Use your graph to find the value of U.
0
3 years ago
#2
At the moment of overtake, they have covered equal distances.

a) Draw a velocity time graph to show the motion of the swimmer and the fish.

b) Equate the distance travelled by the swimmer to the distance travelled by the fish. Hence find U.
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Thread starter 3 years ago
#3
(Original post by BobbJo)
At the moment of overtake, they have covered equal distances.

a) Draw a velocity time graph to show the motion of the swimmer and the fish.

b) Equate the distance travelled by the swimmer to the distance travelled by the fish. Hence find U.
I just can’t get my head around what the velocity time graph looks like
0
3 years ago
#4
(Original post by Shannon.Leanne)
I just can’t get my head around what the velocity time graph looks like
For the swimmer it should be simple.

For the fish, the speed increases from 0 to U in 2 seconds and is then constant at U for the rest of the time
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Thread starter 3 years ago
#5
(Original post by BobbJo)
For the swimmer it should be simple.

For the fish, the speed increases from 0 to U in 2 seconds and is then constant at U for the rest of the time
Okay thank you, so what should I write for b?
0
3 years ago
#6
(Original post by Shannon.Leanne)
Okay thank you, so what should I write for b?
You should write an expression for the distance travelled by the fish. This is the area under your velocity time graph. You should then calculate the distance travelled by the man. Equate the distances then solve for U
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Thread starter 3 years ago
#7
(Original post by BobbJo)
You should write an expression for the distance travelled by the fish. This is the area under your velocity time graph. You should then calculate the distance travelled by the man. Equate the distances then solve for U
Okay I’ve got it now thank you so much!
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