Explanation:
Ummm i think a timer or clock?
For the answer to the question above, first find out the gradient.
<span>m = rise/run </span>
<span>=(y2-y1)/(x2-x1) </span>
<span>the x's and y's are the points given: "After three hours, the velocity of the car is 53 km/h. After six hours, the velocity of the car is 62 km/h" </span>
<span>(x1,y1) = (3,53) </span>
<span>(x2,y2) = (6,62) </span>
<span>sub values back into the equation </span>
<span>m = (62-53)/(6-3) </span>
<span>m = 9/3 </span>
<span>m = 3 </span>
<span>now we use a point-slope form to find the the standard form </span>
<span>y-y1 = m(x-x1) </span>
<span>where x1 and y1 are any set of point given </span>
<span>y-53 = 3(x-3) </span>
<span>y-53 = 3x - 9 </span>
<span>y = 3x - 9 + 53 </span>
<span>y = 3x + 44 </span>
<span>y is the velocity of the car, x is the time.
</span>I hope this helps.
(a)
The radius of the sphere is:
r = 12.5 cm
So the volume of the sphere of gold is
The density of gold is
So the mass of the sphere is
(b)
The length of one side of the cube is
L = 0.049 mm = 0.0049 cm
So the volume of the cube of platinum is
The density of platinum is
So the mass of the cube is
(c) 53.5 g
The volume of the ethanol is
V = 67.1 mL
While its density is
d = 0.798 g/mL
So the mass of the ethanol is
It took <u>6.73 seconds</u> for the cheetah to catch its prey.
Why?
If we want to calculate the time taken for the cheetah to catch its prey, we need to make their equation of position equals.
For the cheetah we have:
For the gazelle we have:
Now, substituting and calculating, we have:
Hence, we have that it took 6.73 seconds to the cheetah to cath its prey.
Have a nice day!