Answer: Velocity=8.26m/s
Explanation:
Acceleration=Finial velocity (V) - Initial velocity (u) ÷ Time
that is, a=v-u/t
a=1.2m/s², v=?, u=5.5m/s, t=2.3s
From a=v-u/t, make v the subject of the formula
v=at + u
v=(1.2* 2.3) + 5.5
v=2.76+5.5
v=8.26m/s
Hi there!
We can begin by solving for the linear acceleration as we are given sufficient values to do so.
We can use the following equation:
vf = vi + at
Plug in given values:
4 = 9.7 + 4.4a
Solve for a:
a = -1.295 m/s²
We can use the following equation to convert from linear to angular acceleration:
a = αr
a/r = α
Thus:
-1.295/0.61 = -2.124 rad/sec² ⇒ 2.124 rad/sec² since counterclockwise is positive.
Now, we can find the angular displacement using the following:
θ = ωit + 1/2αt²
We must convert the initial velocity of the tire (9.7 m/s) to angular velocity:
v = ωr
v/r = ω
9.7/0.61 = 15.9 rad/sec
Plug into the equation:
θ = 15.9(4.4) + 1/2(2.124)(4.4²) = 20.56 rad
At 10 m/s, it will take
(2 m)/(10 m/s) =
0.2 sto bridge the gap.
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However, it will take an additional 0.514 seconds (0.714 s total) for the policeman to land on the building below. The answer depends on the meaning of the question.
Think of the cell membrane as a net and the nutrients are the perfect fit to fall through it. Where the waste is not the right size and will not fit through the holes of the net.