(i) Step 1: Understand that acceleration is the gradient of a speed-time graph.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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c)
(i) Step 1: Understand that acceleration is the gradient of a speed-time graph.
The formula for acceleration is:
$$a = \frac{\Delta v}{\Delta t} = \frac{v_2 - v_1}{t_2 - t_1}$$
Step 2: Read the speeds from the graph at the given times.
At $t_1 = 0$ s, $v_1 = 0$ m/s.
At $t_2 = 0.25$ s, read the speed from the graph. Each small square on the time axis is $0.05$ s. So $0.25$ s is 5 small squares from $0$. Each small square
