Answer:
1. A soccer ball is kicked horizontally of a 22-meter-high hill and lands 35 meters from the edge of the hill. Determine the total time travelled and initial horizontal velocity of the soccer ball.
Solution given:
height of hill[H]=22m
distance [d]=35m
now
total time travelled=[tex]\sqrt{\frac{2H}{g}}[/tex]
where g=9.8m/s²=gravity
=[tex]\sqrt{\frac{2*22}{9.8}}=2.1[/tex]second
2.1second
now
initial horizontal velocity=d/t=35/2.1=16.6m/s.
2. A wooden box is thrown from the top of a 10-meter-high building with an initial horizontal velocity of 5 m/s. Determine the total time travelled and the range from the edge of the building to the landing location of the wooden box.
Solution given:
initial velocity[u]=5m/s
height[H]=10m
total time travelled [T]=?
range[R]=?
total time travelled=[tex]\sqrt{\frac{2H}{g}}[/tex]
where g=9.8m/s²=gravity
=[tex]\sqrt{\frac{2*5}{9.8}}=1.02[/tex]second
1.02second
now
Range=u[tex]\sqrt{\frac{2H}{g}}[/tex]
=5*1.02=5.1m
