Had my amazing Year 9 group changing base with the power rule today to really push them. My they are good. #mathstoday
Aaron PS
@ronpaq.bsky.social
127 followers 271 following 229 posts
🇬🇧 Maths teacher at a bilingual school in France. Nerdy about pedagogy and task design. Seeking discussions about what works (or not!) in our classrooms for continued professional development. 🇫🇷 Prof de maths à une école bilingue en France. he/him
![I'm going to try and type you my thoughts live so you can see what I'm thinking. I hope this will be more useful to getting you started than a worked solution. I don't have a calculator on me so I haven't actually tried to work any of this out - it's possible that my approach to a particular part doesn't work! But the 'show that' in part (iii) is a nice way for you to check whether things are going well up to that point. I'd advise you to only read a bit at a time, then try what you can, and come back to read the next bit if you get stuck.
Before part (i), they've mentioned mass, speed, force and power. In particular, seeing speed and power mentioned together always makes me want to use the formula P=Fv. Given that this part is only 2 marks, I suspect I won't have to do much more than that.
Before part (ii), they've mentioned moving under gravity - given that I'm primed by part (i) that this is a Work/Energy/Power question [yes, I know this is a whole W/E/P assignment, but in an exam I wouldn't have that extra context - but even exam questions are often predominantly drawn from a single topic] that makes me think of GPE. They also mention moving against resistance, which makes me think of WD = Fd.
So already I'm thinking I'll start by trying to set up the energy buckets for the car at P and Q. I'm told the height and speed at each of them, which means I can calculate GPE and KE using the mass from the first part. I'm also told how far the car travels, which I can use as d in WD=Fd.
In fact, part (ii) only asks for GPE and KE, so I don't need to use WD=Fd at all.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:tdrrhbjupu4ddebjnqi57lck/bafkreic4xngzl7w5p7xu32s5iymtasz7vcstsze6lthsahdpkqif2faakm)
