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
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 and h is the highest point reached by the skateboarder. Equating PE=KE we have
and since m are on both LHS and LHS, the cancel
} and making h the subject of the above formula
Substituting v with 5.4 m/s and g as we obtain
Rounded off, h=1.5 m