Examples of rectilinear motion
2 answers:
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The velocity at the end of the 7th second is 1.198 m/s
Explanation:
Assuming that the motion of the body is a uniformly accelerated motion (=constant acceleration), we can use the following suvat equation:
where
s is the displacement
u is the initial velocity
t is the time elapsed
a is the acceleration
In the first 2 seconds, the body travels 2 m, so we have:
So the equation can be written as
If we then consider the whole first 4 seconds of motion, we have:
So the equation can be written as
So we have a system of 2 equations in 2 variables:
By multiplying the 1st equation by 2 and subtracting eq.(1) from eq.(2), we get
And susbtituting into the 1st equation, we get
Now we can apply the following suvat equation:
And substituting t = 7 s, we find the velocity at the end of the 7th second:
Learn more about accelerated motion:
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