Question

In the Olympic shot-put event, an athlete throws the shot with an initial speed of 13.6 m/sm/s at a 40.0 ∘∘ angle from the horizontal. The shot leaves her hand at a height of 1.80 mm above the ground. (Figure 1)

1. How far does the shot travel horizontally before striking the ground when shot with initial angle 40.0 ∘∘ ?

2. Repeat the calculation of the first part for angle 42.5 ∘

3. Repeat the calculation of the first part for angle 45.0 ∘

4. Repeat the calculation of the first part for angle 47.5 ∘

5. With what angle of release does she throw the farthest?

Answer 1

Part - 1

now,

Initial height = 1.80m

thus the horizontal distance is

or

which gives us

Part - 2

If   then   

again using second equation and then range formula

Part - 3

If

again using second equation and then range formula

Part - 4

If  

again using second equation and then range formula

Part - 5

So we can clearly see that the maximum range is obtained when