A student is skateboarding down a ramp that is 7.76 m long and inclined at 26.3° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 3.07 m/s. Neglect friction and find the speed at the bottom of the ramp.

Respuesta :

Answer:

Final velocity will be 6.566 m/sec

Explanation:

We have given distance s = 7.76 m

Initial speed u = 3.07 m/sec

Let m be the mass of the scallerer

Force acing down the ramp is the sinθ component of the force due to gravity and this = mg

Acceleration down the ramp = [tex]gsin26.3^{\circ}[/tex]

Speed at the bottom of the ramp can be found out using,

According to third equation of motion [tex]v^2=u^2+2as[/tex]

So [tex]v^2=3.07^2+2\times (9.8\times sin26.3)\times 7.76=43.1195[/tex]

v = 6.566 m/sec