**Answer:**

a) T=549.36N Upwards

b) T=448.56N Upwards

c) T=650.16N Upwards

**Explanation:**

The very first thing we can do to solve this problem is to draw a free body diagram we can use to analyze the situation (see attached picture).

On the diagram we can see there are only two forces acting on the object: the tension of the rope and the weight of the object itself.

a)

Since the object is moving at a constant speed, this means that its acceleration will be zero. So we can do a sum of forces like this:

T-W=0

T=W

T=mg

T=549.36N upwards

b)

For part b, since the object is accelerating downwards, we wil say that it's acceleration is negative, so

so we can do a sum of forces again:

so

T-W=ma

T=ma +W

T=ma+mg

T=m(a+g)

and now we substitute:

which yields:

T=448.56N upwards (in this particular case, the tension always goes upwards)

c)

Since the object is moving upwards, we can say that its acceleration will be positive, so

we can take the solved equation we got on the previous part of the problem, so we get:

T=m(a+g)

which yields:

T=650.16N upwards

**Answer:**

31.404 seconds

**Explanation:**

To answer this equation, SUVAT is your best option utilizing and rearranging the known values to solve for the unknown.

here we have the values for

s=895

u=22

v=35

t= the unknown value

in this instant the equation s=0.5 x (u+v)t is the best equation to use

so we sub in the known values

895=0.5 x (22+35)t

rearrange to solve for t

895=28.5t

895/28.5=t

t=31.404 seconds (rounded to 3 decimal places)

**Answer: destructive interference**

**Explanation:**

There are 1000 meters to kilometers, and so divide x meters with 1000 to get your answer in kilometers

hope this helps