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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
21 Jan 2022

Given information

Given a shot-putter throws the "shot" (mass   ) with an initial speed of  at a angle to the horizontal.

To calculate the horizontal distance travelled by the shot if it leaves the athlete's hand at a height of   above the ground.

Step-by-step explanation

Step 1.
After the object is released, it follows a parabolic path and undergoes projectile motion. Assuming that air resistance is negligible, kinematic equations for two dimensions can be used to calculate the horizontal distance it covers.
Recall that in this case of projectile motion, the initial velocity  can be resolved into its and  components using the equations below.
 
where  is the angle the velocity vector makes with the horizontal.
Furthermore, the horizontal velocity remains constant all throughout the object's motion while the vertical velocity changes because of the downward acceleration with a magnitude of .

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