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4) A runne r ran a 400 m race in 1 min 35 sec . Calculate his average speed in m/sec S=Ddiv T underline ( )m/sec

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4) A runne r ran a 400 m race in 1 min 35 sec . Calculate his average speed in
m/sec
S=Ddiv T
underline ( )m/sec

4) A runne r ran a 400 m race in 1 min 35 sec . Calculate his average speed in m/sec S=Ddiv T underline ( )m/sec

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RileyExpert · Tutor for 3 years

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Step1: Distance (D) is referred as: 400m <br />Step2: The total time (T) is calculated as: \(T = 1 min *60 sec/min + 35 sec\) <br /> Result: \(T = 60 sec + 35 sec = 95 sec\)<br />Step3: Substitute values: S (speed) = \(\frac{D}{T} = \frac{400m}{95 sec}\)<br />Calculate S equal to approximately \(4.21 m/sec\) So the average speed of the runner is 4.21 m/sec.

Explain

## Step1: We should start by taking a look at the given problem in more depth.<br /><br />To calculate the runner's average speed, we need to use the specific formula, \(S = \frac{D}{T}\), where S represents speed, D, distance and T, time. Here, the distance (D) is mentioned as 400 m.<br /><br />## Step2: Calculate the total time in seconds.<br /><br />The duration for the runner is given as 1 minute and 35 seconds. It's worth mentioning that 1 minute equals 60 seconds, therefore, to get the total time in seconds, we simply multiply 1 (minute) with 60 (convert minutes to seconds) and add the rest 35 seconds. This gives, (1 min*60 sec/min + 35 sec).<br /><br />## Step3: Calculate the speed by substituting values of distance and time into the formula.<br /><br />Calculate the average speed by plugging in the values of 'distance' and 'total time in seconds 'in the formula. Thus obtain the speed in meters per second.
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