d(t) = 1.1t² + t + 1
The constant speed required to cover the same distance between t = 3 to t = 5 is the same as the average speed over that same time interval. It is given by:
v = Δx/Δt
v = average speed, Δx = change in distance, Δt = elapsed time
Given values:
Δx = d(5) - d(3) = 19.6ft
Δt = 5s - 3s = 2s
Plug in and solve for v:
v = 19.6/2
v = 9.8ft/s
<u>Answer:</u>
Lead
<u>Explanation:</u>
To get the density of the material, the formula would be:
mass divided by volume which is given by 
.
Here in this problem, we are given a mass of 
which occupies a volume of 
.
So plugging the data in the above formula to find the density:
Density = 
From the table, we can see that the material is Lead which has a density of 11.3c/cm^3.
The upward force of the chain on the diamond would be the tension in the chain, and this tension would have to support the weight of the 45g that hangs from the chain.
mass = 45 g = 45/1000 kg = 0.045kg
Weight = mg = 0.045 * 10 ≈ 0.45N, g ≈ 10 m/s²
So the upward force is ≈ 0.45N.
