Junior rides his trucycle off a level porch. If he left the porch at a speed of 4 m/s and landed a horizontal distance of 2.5m from the base, then what is the height of the porch?

the height of the porch is H=1.91 m

Step-by-step explanation:

neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at

t= L/v₀ , L= horizontal distance

then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche)  and the final height hf is 0 , we have

hf = H + vy*t - 1/2*g*t²

0 = H + 0 -1/2*g*t²

H = 1/2*g*t² = 1/2*g*(L/v₀)²

replacing values with g= gravity = 9.8 m/s²

H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m

therefore the height of the porch is H=1.91 m

It is the story of a group of thirty people who travel as pilgrims to Canterbury (England). The pilgrims, who come from all layers of society, tell stories to each other to kill time while they travel to Canterbury.