You are Here: Home >< Maths

# M2 and s1 help 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)
...
Have a go at these yourself first. What are you thoughts?
Post your working if you get stuck at any point.
3. (Original post by RDKGames)
Have a go at these yourself first. What are you thoughts?
Post your working if you get stuck at any point.
I got most of the parts rights.
It is just I am stuck on the last part of the stats question and the second part of the mech question

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: February 23, 2018
The home of Results and Clearing

### 4,900

people online now

### 1,567,000

students helped last year
Today on TSR

### IT'S TODAY!

A-level results chat here

### University open days

1. Bournemouth University
Fri, 17 Aug '18
2. University of Bolton
Fri, 17 Aug '18
3. Bishop Grosseteste University
Fri, 17 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams