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# M2 and S1 watch

1. M2 QUESTION
A particle is projected from a point O on horizontal ground. The velocity of projection has magnitude 20ms^(-1) and direction upwards at an angle theta to the horizontal. The particle passes through the point 7m above the ground and 16m horizontally from O, and hits the ground at the point A.
i) Using the equation of the particle's trajectory and the identity sec^(2)=1+tan^(2), show that the possible values of tan theta are 3/4 and 17/4
ii) Find the distance of OA for each of the two possible values of tan theta
iii) Sketch in the same diagram the two possible trajectories

S1 QUESTION
There are 12 people at an identification parade. Three witnesses are called to identify the accused person.

Assuming they make their choice purely by random selection, draw a tree diagram showing the possible events
i) From the tree diagram, calculate the following possibilities
(a) that all three witnesses select the accused person
(b) that none of the witnesses selects the accused person
(c)at least two of the witnesses selects the accused person

(ii) Suppose now that by changing the composition of people in the identification parade, the first two witnesses increase their chances of selecting the accused person to 0.25.

Draw a tree diagram and calculate the possibilities
(a) that all three witnesses select the accused person
(b) that none of the witnesses selects the accused person
(c)at least two of the witnesses selects the accused person
2. (Original post by Asazycat)
M2 QUESTION
A particle is projected from a point O on horizontal ground. The velocity of projection has magnitude 20ms^(-1) and direction upwards at an angle theta to the horizontal. The particle passes through the point 7m above the ground and 16m horizontally from O, and hits the ground at the point A.
i) Using the equation of the particle's trajectory and the identity sec^(2)=1+tan^(2), show that the possible values of tan theta are 3/4 and 17/4
ii) Find the distance of OA for each of the two possible values of tan theta
iii) Sketch in the same diagram the two possible trajectories

S1 QUESTION
There are 12 people at an identification parade. Three witnesses are called to identify the accused person.

Assuming they make their choice purely by random selection, draw a tree diagram showing the possible events
i) From the tree diagram, calculate the following possibilities
(a) that all three witnesses select the accused person
(b) that none of the witnesses selects the accused person
(c)at least two of the witnesses selects the accused person

(ii) Suppose now that by changing the composition of people in the identification parade, the first two witnesses increase their chances of selecting the accused person to 0.25.

Draw a tree diagram and calculate the possibilities
(a) that all three witnesses select the accused person
(b) that none of the witnesses selects the accused person
(c)at least two of the witnesses selects the accused person
3. (Original post by Kevin De Bruyne)
Can you please do the whole question. I have done the working, but I don't know how to post math on this website and it will not let me upload photoes.

Thank you
4. (Original post by Asazycat)
Can you please do the whole question. I have done the working, but I don't know how to post math on this website and it will not let me upload photoes.

Thank you
What does it say when you try to upload a photo?
5. (Original post by Kevin De Bruyne)
What does it say when you try to upload a photo?
There is no upload photo icon and I tried copying the image in, it still does not work
6. (Original post by Asazycat)
There is no upload photo icon and I tried copying the image in, it still does not work
What device are you on? It should be somewhere.

If you can right click the image and obtain an 'image location', you can put it in between image tags like so: [img]jmage location[/img]
7. (Original post by Kevin De Bruyne)
What device are you on? It should be somewhere.

If you can right click the image and obtain an 'image location', you can put it in between image tags like so: [img]https://www.thestudentroom.co.uk/jmage%20location[/img]

Right now I am on a library computer, I'll have to go home and try that.

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Updated: February 23, 2018
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