Answer:
The constant value is
The net displacement is
Explanation:
If the acceleration as a function of time is given then, first of all, knowing that the units of acceleration should be we should have where stands for The dimension of k (these are just the units of k in a less formal way of saying it.
On the other hand we have only information about the velocity, but we only have the acceleration function, it turns out we can integrate the expression of acceleration in order to obtain the velocity as a function of time:
where as a constant of integration which should have units of in order to be consistent with the fact that it is a velocity function, it is therefore natural to think of as the initial velocity of the the particle.
Let's now get our hands dirty by integrating
.
By having the velocity as a function of time we can now use the conditions given at t=0 and t=6.
At t=0 we have:
At t=6 the particle start reversing direction, that means at that very instant it velocity should be zero in order to start traveling the other way. This can only mean the following
.
We have a full description now of the acceleration and the velocity function. In order to get the net displacement we need to integrate the velocity function
Where is the initial displacement. If we subtract on both sides we get the net displacement or distance traveled
Plugging the value of 6 above gives us the net displacement
.
Impulse in physics is the integral of force, F, with respect with time, t. This value is a vector quantity since force is a vector quantity as well. It can be calculated from the product of force and time. We do as follows:
Impulse = Ft
= m(a)(t)
= m(v/t)t
= 0.046 (42/0.0005) (0.0005)
= 1.932 N-s
Answer:
It helps melt the ice away on their walkway.
Explanation:
The salt makes the ice to freeze at a lower temperature. So when a solute (salt) comes into contact with the ice the freezing point is lowered.