Question

A basketball is shot with a velocity of 8.5 m/s at 50° above the horizontal. It falls through the basket at a height of 1.20 m above the release point of the ball. What is the horizontal distance of the basket from the shooter?

a) 4.78 m

b) 5.18 m

c) 6.05 m

d) 6.96 m

e) 7.92 m

Answer 1

Given is:-

Initial velocity of the ball

angle with the horizontal  

Height of the basket from the release point h=1.20m

Now,

The component of the velocity

and  

and

there is only gravitation force is working in the vertical direction thus

applying third equaiton of motion to find the final velocity

by plugging all the values we get

The negative sign shows that the velocity is downwards when it moves throuhg basket.

time taken by

thus the horizontal distance will be

Hence the horizontal distance of the basket from the shooter is 6.06 meters hence option -C is correect answer.