A car is travelling along a straight horizontal road with initial velocity $u$ ms$^{-1}$ - AQA - A-Level Maths Pure - Question 12 - 2022 - Paper 2
Question 12
A car is travelling along a straight horizontal road with initial velocity $u$ ms$^{-1}$.
The car begins to accelerate at a constant rate $a$ ms$^{-2}$ for 5 second... show full transcript
Worked Solution & Example Answer:A car is travelling along a straight horizontal road with initial velocity $u$ ms$^{-1}$ - AQA - A-Level Maths Pure - Question 12 - 2022 - Paper 2
Step 1
Using the Equation of Motion
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Answer
To find acceleration, we can use the first equation of motion:
v=u+at
Where:
v is the final velocity (4u ms−1)
u is the initial velocity (u ms−1)
a is the acceleration (what we need to find)
t is the time (5 seconds)
Substituting the known values into the equation leads to:
4u=u+a⋅5
Step 2
Rearranging the Equation
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Answer
Now, rearranging the equation to solve for a:
4u−u=5a 3u=5a
To isolate a, we divide both sides by 5:
a=53u
Step 3
Expressing in Terms of u
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Answer
The expression can be simplified:
a=0.6u
Thus, the correct answer is a=0.6u. Remember to circle this answer.