a) Apply the dimensional analysis method to determine if the following equations are corrector not:(2 Marks) \text { 1. The kinetic energy is described by: } \frac{1}{2} m v^{2}=\sqrt{m g

h} \text { 2. The period time } T \text { is described by: } T=2 \pi \sqrt{\frac{l}{g}} b) You are working with a map that has a fractional scale of 1:18,000 as shown in Figure-1below.(2 Marks) 1. You are walking to a field area from point A to point Bas highlighted in red and measure the length of the trail as 18.5 inches. Calculate how many miles you have to hike to get to B. 2. If you walked that distance in 45 minutes, what will beyour speed in m/s. c) Imagine that you are driving your car in USA.As you're driving along, you notice that the speed limit signs have numbers like 110 (on the highway) and 45 (in the city).As you start to speed up, you realize that the signs are in mph.Unfortunately, your speedometer only reads in Km/hour.Figure out how fast you're allowed to go with your car if the you are in a highway.(1 Mark)