15. An insect lands on a compact disc that is put
1 answer:
Answer:
Yes, it is accelerating
Explanation:
Acceleration is a vector quantity, which means it has both a magnitude and a direction.
Acceleration is defined as the rate of change of velocity:
where v is the velocity and t is the time.
v, the velocity, is also a vector, having both a magnitude (called speed) and a direction. This means that the acceleration is non-zero whenever the velocity is changing: this means that we have an acceleration either when the speed is changing, or also when the direction of the velocity is changing.
In the example in the question, the insect spins with the disc, so it is in circular motion. This means that the direction of the velocity of the insect is constantly changing: therefore, the acceleration of the insect is non-zero, so the insect is accelerating.
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1) The car overtakes the truck at a distance of 160 m far from the intersection.
2) The velocity of the car is 40 m/s
Explanation:
1)
The car is travelling with a constant acceleration starting from rest, so its position at time t (measured taking the intersection as the origin) is given by
where
is the acceleration
t is the time
On the other hand, the truck is travelling at a constant velocity, therefore its position at time t is given by
where
v = 20 m/s is the velocity of the truck
t is the time
The car overtakes the truck when the two positions are the same, so when
So, after a time of 8 seconds. Therefore, the distance covered by the car during this time is
So, the car overtakes the truck 160 m far from the intersection.
2)
The motion of the car is a uniformly accelerated motion, so the velocity of the car at time t is given by the suvat equation
where
v is the velocity at time t
u is the initial velocity
a is the acceleration
For the car in this problem, we have:
u = 0 (it starts from rest)
And we know that the car overtakes the truck when
t = 8 s
Substituting into the equation,
Learn more about accelerated motion:
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