(a) 
The work-energy theorem states that the work done on the cheetah is equal to its change in kinetic energy:
where
m = 51.0 kg is the mass of the cheetah
u = 0 is the initial speed of the cheetah (zero because it starts from rest)
u = 31.7 m/s is the final speed
Substituting, we find
(b) 6.1 cal
The conversion between calories and Joules is
1 cal = 4186 J
Here the energy the cheetah needs is
Therefore we can set up a simple proportion
to find the equivalent energy in calories:
Straight line distance between their home and the store can be solve using cosine law. first is solve the angle which is180 - 45 = 135 degree
C^2 = a^2 + b^2 - 2ab cos(135)c^2 = 5^2 + 5^2 - 2(5)(5) cos(135)c^2 = 85.35c = 9.24 km is the straight line distance between their home and the store
The difference between the parts of the plot with positive slope and the parts with negative slope can be found below.
<h3>What is a slope?</h3>
A slope in a graph is the ratio of the vertical and horizontal distances between two points on a line. Slope shows both steepness and direction of values.
A slope can either be positive or negative depending on the relationship between the variables being plotted.
A positive slope means that the variable are directly related while the negative slope means that two variables are negatively related.
A positive slope further means that the line moves upward when going from left to right on the graph while with the negative slope, the line moves down when going from left to right.
Learn more about slope at: brainly.com/question/2491620
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