A vehicle, of total mass 1200 kg, is travelling along a straight, horizontal road at a constant speed of 13 ms−1 - AQA - A-Level Maths Mechanics - Question 13 - 2021 - Paper 2
Question 13
A vehicle, of total mass 1200 kg, is travelling along a straight, horizontal road at a constant speed of 13 ms−1.
This vehicle begins to accelerate at a constant ra... show full transcript
Worked Solution & Example Answer:A vehicle, of total mass 1200 kg, is travelling along a straight, horizontal road at a constant speed of 13 ms−1 - AQA - A-Level Maths Mechanics - Question 13 - 2021 - Paper 2
Step 1
Using the equation for constant acceleration
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Answer
To find the acceleration, we can use the equation of motion:
v2=u2+2as
Where:
v=17ms−1 (final speed)
u=13ms−1 (initial speed)
s=40m (distance travelled)
Substituting the values:
(17)2=(13)2+2a(40)
This simplifies to:
289=169+80a
Rearranging gives:
80a=289−169
Thus:
80a=120
Therefore:
a = rac{120}{80} = 1.5 \, ms^{-2}
Step 2
Substituting into F = ma
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Answer
To find the resultant force acting on the vehicle, we use Newton's second law:
F=ma
Where:
m=1200kg (mass of the vehicle)
a=1.5ms−2 (acceleration)
Substituting the values:
F=1200imes1.5
Calculating this gives:
F=1800N
Thus, the resultant force acting on the vehicle during the period of acceleration is 1800 N.
