Question

With what speed would an athlete need to release a shot an angle of 33 degree to horizontal to achieve a shot put throw of 30 m?

Select one:

a. 17.9 m/s

b. 30.2 m/s

c. 37.2 m/s

d. 23.2 m/s

Answer 1

This is a projectile motion.

The range of projectile is given by the equation,

  

where v is the velocity

g is the acceleration due to gravity and

h is the height.

The height is given as, where v₀ is the initial velocity.

Here, the shot put is at rest, hence v₀ = 0.

Therefore, height h = 0

Then,

  

  

  

Rearranging for v, we get,

Now, substituting the values 30 m for d, 9.8 for g and 33 for

We get,

  

  = 17.9 m/s

The answer is a) 17.9 m/s