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A cyclist uniformly accelerates from [tex][tex]$8 \, m/s$[/tex][/tex] to [tex][tex]$12 \, m/s$[/tex][/tex] in [tex][tex]$5 \, s$[/tex][/tex].

(a) Calculate
(i) the increase in speed in [tex][tex]$5 \, s$[/tex][/tex].

[tex] \quad \text{Increase in speed:} \quad \_\_\_\_ \, m/s [/tex]

Sagot :

GinnyAnswer
To solve this problem, we need to determine the increase in speed of the cyclist over a time period of 5 seconds.

Step-by-Step Solution:

1. Identify the initial and final speeds:
- The initial speed of the cyclist is [tex]\(8 \, \text{m/s}\)[/tex].
- The final speed of the cyclist is [tex]\(12 \, \text{m/s}\)[/tex].

2. Calculate the increase in speed:
- The increase in speed is found by subtracting the initial speed from the final speed.
- Increase in speed = Final speed - Initial speed

3. Substitute the given values:
- Increase in speed = [tex]\(12 \, \text{m/s} - 8 \, \text{m/s}\)[/tex]

4. Perform the subtraction:
- Increase in speed = [tex]\(4 \, \text{m/s}\)[/tex]

Therefore, the increase in speed over the 5-second period is [tex]\(4 \, \text{m/s}\)[/tex].
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