The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45°. With what speed must the animal leave the ground to reach that height?
1 Answer
Explanation:
Let's take the information we are given and try to break it down into the values we have and how we can use those to solve for what's being asked.
Given



Since the puma leaves the ground at a
Because we are dealing with maximum height and gravity, we have to use the vertical component of the velocity,
Given its max height, the acceleration due to gravity, and the angle, we can now solve for the speed at which the puma leaves the ground using the following equation:
Where
Plugin, rearrange and solve (ignored units)

#color(blue)(vsin(theta) = sqrt(2hg)# 
#vsin(45^@) = sqrt(2xx3.7xx9.8)# 
#v(0.71) = sqrt(72.52)# 
#v(0.71) = 8.52# 
#v = "8.52"/"0.71"# 
#color(orange)[v = 12m/s#