The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 5.4 m/s. neglect nonconservative forces, such as friction and air resistance, and find the height h of the highest point reached by the skateboarder on the right side of the ramp.

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

c. magnitude and direction