A motorbike accelerates from 15 m/s to 25 m/s in 15 seconds. How far does the motorbike travel in this time? Give your answer to three significant figures
Question
A motorbike accelerates from 15 m/s to 25 m/s in 15 seconds.
How far does the motorbike travel in this time? Give your answer to three significant figures.
Solution
To solve this problem, we need to use the equations of motion.
Step 1: Find the acceleration. Acceleration (a) = (Final velocity (v) - Initial velocity (u)) / Time (t) a = (25 m/s - 15 m/s) / 15 s = 0.67 m/s²
Step 2: Find the distance travelled. We use the equation: Distance (s) = ut + 0.5at² s = (15 m/s * 15 s) + 0.5 * 0.67 m/s² * (15 s)² s = 225 m + 0.5 * 0.67 m/s² * 225 s² s = 225 m + 75.375 m s = 300.375 m
So, the motorbike travels approximately 300 m in this time, to three significant figures.
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