A skateboarder rolls horizontally off the top of a staircase and lands at the bottom. The staircase has a horizontal length of 1
2.0\,\text m12.0m12, point, 0, start text, m, end text with a vertical drop of 2.00\,\text m2.00m2, point, 00, start text, m, end text. We can ignore air resistance.
<em>A skateboarder rolls horizontally off the top of a staircase and lands at the bottom. The staircase has a horizontal length of 12.0m with a vertical drop of 2.0m. Calculate the speed of the skateboard. We can ignore air resistance.</em>
Using the following equations of motion;
Horizontal displacement
x = vt............ 1
Vertical component;
y = 1/2gt² ....... 2
v is the speed
t is the time
g is the acceleration due to gravity
Frim 1;
t = x/v ..... 3
Substitute equation 3 into 2;
From 2; y = 1/2gt² .
y = 1/2 g(x/v)²
y = 1/2 gx²/v²
y = gx²/2v²
v² = gx²/2y
v = √gx²/2y
Given;
x = 12m
y = 2m
g = 9.8m/s²
Substitute the given parameters into the give equation;
v = √(9.8)(12)²/2(4)
v = √(9.8)(144)/8
v = √1411.2/8
v = √176.4
v = 13.28m/s
Hence the approximate speed of the skateboard is 13.28m/s
Snell's law is defined as “The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given colour and for the given pair of media”.
