You are Here: Home >< Maths

# M1 question

Announcements Posted on
Last day to win £100 of Amazon vouchers - don't miss out! Take our quick survey to enter 24-10-2016
1. The Q is a Mens race is 60m long, and was carried out in 6.41s.Assuming the race was carried out under constant acceleration, calculate the acceleration of the runner and his speed at the end of the race?

I kinda forgot what constant acceleration means, I just thought I dont have enough info to work out anything?
2. Constant acceleration means you can use suvat equations

you know s, u and t
3. (Original post by SunDun111)
The Q is a Mens race is 60m long, and was carried out in 6.41s.Assuming the race was carried out under constant acceleration, calculate the acceleration of the runner and his speed at the end of the race?

I kinda forgot what constant acceleration means, I just thought I dont have enough info to work out anything?
Constant acceleration means you can use SUVAT.

You know:

s=60
u=0 (has to start from rest, it's a race)
v=?
a=?
t=6.41

So what equations can you use to find a? s = ut + 1/2at^2 seems pretty useful to me...
4. (Original post by Zacken)
Constant acceleration means you can use SUVAT.

You know:

s=60
u=0 (has to start from rest, it's a race)
v=?
a=?
t=6.41

So what equations can you use to find a? s = ut + 1/2at^2 seems pretty useful to me...
Ok thanks
5. (Original post by Zacken)
Constant acceleration means you can use SUVAT.

You know:

s=60
u=0 (has to start from rest, it's a race)
v=?
a=?
t=6.41

So what equations can you use to find a? s = ut + 1/2at^2 seems pretty useful to me...
Ok I worked out the acceleration as 2.93, and the speed he finished the race as 18.73ms but the next part of the question says, assume that in a 100m race the runner accelerates for the next 60m and completes the race by running the next 40m in the speed you calculated for the end of the 60m. Calculate the time for the athlete to complete the race.

I would think you have to use SUVAT just for the final 40m? But would U = 0?
6. (Original post by SunDun111)
Ok I worked out the acceleration as 2.93, and the speed he finished the race as 18.73ms but the next part of the question says, assume that in a 100m race the runner accelerates for the next 60m and completes the race by running the next 40m in the speed you calculated for the end of the 60m. Calculate the time for the athlete to complete the race.

I would think you have to use SUVAT just for the final 40m? But would U = 0?
No... if he runs the next 40m at a speed of 18.73, then it's literally just time = distance/speed = 40/18.73
7. (Original post by Zacken)
No... if he runs the next 40m at a speed of 18.73, then it's literally just time = distance/speed = 40/18.73
Thanks done it, another Q us a sprinter starts from rest, accelerates at 2ms and for the frist four seconds of the race the sprinter moves along a strraight line. Find the distance travelled byt the sprinter in the first 4 seconds, find the speed of the sprinter at the end of the first 4 seconds, the sprinter travels at this speed for the remainder of the race, he travels a total distance of 100m find the total time that he takes th complete the way.

I got the distance as 16m and speed after 4 seconds as 8ms. But I cant do the final bit, how would i break it down?
8. (Original post by SunDun111)
Thanks done it, another Q us a sprinter starts from rest, accelerates at 2ms and for the frist four seconds of the race the sprinter moves along a strraight line. Find the distance travelled byt the sprinter in the first 4 seconds, find the speed of the sprinter at the end of the first 4 seconds, the sprinter travels at this speed for the remainder of the race, he travels a total distance of 100m find the total time that he takes th complete the way.

I got the distance as 16m and speed after 4 seconds as 8ms. But I cant do the final bit, how would i break it down?
If he's already travelled 16 metres in 4 seconds, it means he has 100 - 16 metres left that he runs at 8 metres per second.

So how long does he take to run (100-16) metres at 8 metres per second? Same formula. Time = distance/speed.

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: May 7, 2016
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:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams