Emmanuel runs around the inner edge of this running track at a constant speed of 4m/s The track is made from two straight sections and two semicircular sections. Work out how many seconds it takes Emmanuel to run exactly once around the track. If your answer is a decimal, give it to 1 d.p. Not drawn accurately

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Emmanuel runs around the inner edge of this running track at a constant speed of 4m/s The track is made from two straight sections and two semicircular sections. Work out how many seconds it takes Emmanuel to run exactly once around the track. If your answer is a decimal, give it to 1 d.p. Not drawn accurately

Answer 1

In this context, due to the lack of a numerical value for the course radius (r'), we also arrive passe upolemo manene uye subjocertster answer to match.

Answer 2

## Step1: To solve this problem, it's necessary to make use of facts about geometry (specifically circles) and distance calculation in respect to speed and time. Starting from the reusable equation: * Time = Distance / Speed Firstly, identify the unique shape of the jogging track: two straight sections (presumably parallel lines: let's call these 'straight' sections) and two semi-circle sections (half of a full circular shape: let's call these 'curved' sections). ## Step2: Focus on the 'curved sections'. Let's combine the two halves into one whole/pure circle, with some 'r' representing its unknown radius. So, once combined, 'curved' sections will have a specific distance/circumference, that our runner has to travel, given by: ### \(2\pi r\) , which is crucial to calculate the total time Emmanuel finishes his run. At this point since we are not explicitly provided 'r' or the circular radius, we don't have sufficient information to precisely perform any calculations specific to 'r'. However, assuming semi-circles are typically a general shape (semi-circles of equivalent size) in many running tracks, and judging from the provided picture, suggesting unique orbital path with which Emmanuel has to pass through 'just once' for executing round across the track, we cannot exactly determine the size: 'r' of these semi-circles. Let's continue with the use of 'r', and when we reach a good precision responses, express this observation as a principal limit of our approach. ## Step3: Investigate each 'straight' sections that directly contribute to the obviously composite shape Emmanuel must cover. Again we're presupposing each is an identical rectangular/long line thus each's total spatial specifications is fully marked by width equals \(r\) presents each straight section might just as appropriately termed as segments of circle). ## Step4: Recombine all these insights concerning the jogging track together for the function of determining Emmanuel's full route, but before we multiply this by 'his speed' to capture that which we are after: the duration of his travel; Summarising the 'distance’: ### Distance travelled = 2 * length of the straight section + 2πr = 2 * r + 2πr The length is desired in increments of semi-circle similar to discovered earlier with handling circular fields. On offsetting that direct space-formula for period: 'duration=time’ we run ourselves period - Input: speed of Emmanuel \(4 m/s\) summation tracker before fully calculating would best highlight time problem: \(Time= \frac { Distance} {speed} =\frac {{2r+2\pi r}}{4} =\frac {r(2+2\pi)}{4}\) r, is a motivator cryptocurrency in our more mathematical perplextz path.

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