Answer: it would be A
Explanation: how are we to measure the air of a square mile
Part a)
At t = 0 the position of the object is given as
At t = 2
so displacement of the object is given as
so average speed is given as
Part b)
instantaneous speed is given by
now at t= 0
at t = 1
at t = 2
Part c)
Average acceleration is given as
Part d)
Now for instantaneous acceleration
As we know that
at t = 0
at t = 1
now we have
At t = 2 we have
<em>so above is the instantaneous accelerations</em>
Answer: -0.84 rad/sec (clockwise)
Explanation:
Assuming no external torques act on the system (man + turntable), total angular momentum must be conserved:
L1 = L2
L1 = It ω + mm. v . r = 81.0 kg . m2 .21 rad/s – 56.0 kg. 3.1m/s . 3.1 m
L1 = -521.15 kg.m2/sec (1)
(Considering to the man as a particle that is moving opposite to the rotation of the turntable, so the sign is negative).
Once at rest, the runner is only a point mass with a given rotational inertia respect from the axis of rotation, that can be expressed as follows:
Im = m. r2 = 56.0 kg. (3.1m)2 = 538.16 kg.m2
The total angular momentum, once the runner has come to an stop, can be written as follows:
L2= (It + Im) ωf = -521.15 kg.m2/sec
L2= (81.0 kg.m2 + 538.16 kg.m2) ωf = -521.15 kg.m2/sec
Solving for ωf, we get:
ωf = -0.84 rad/sec (clockwise)
13 is the mode because it is the number that appears most often
:)
So when the body moves in a straight line the average velocity is equal to the average speed. average velocity would be equal to average speed when the total distance travelled equals the net displacement of a particle. this happens when a particle moves along a straight line in a fixed direction.