Answer:
1.5 m
Explanation:
Using the law of conservation of energy
Gain in potential energy by the skateboarder= Loss in kinetic energy by the skateboarder
PE=KE where KE represent potential energy, PE represent potential energy
[tex]KE=0.5mv^{2}[/tex] where m is mass of skateboarder and v is velocity of skateboarder
PE=mgh where m is the mass of skateboarder, g is acceleration due to gravity which in this case is taken as [tex]9.81 m/s^{2}[/tex] and h is the highest point reached by the skateboarder. Equating PE=KE we have
[tex]mgh=0.5mv^{2}[/tex] and since m are on both LHS and LHS, the cancel
[tex]gh=0.5v^{2[/tex]} and making h the subject of the above formula
[tex]h=\frac {0.5v^{2}}{g}[/tex]
Substituting v with 5.4 m/s and g as [tex]9.81 m/s^{2}[/tex] we obtain
[tex]h=\frac {0.5*(5.4 m/s)^{2}}{9.81}=1.486238532 m[/tex]
Rounded off, h=1.5 m
