Question

On June 25, 1983, shot-putter Udo Beyer of East Germany threw the 7.26-kg shot 22.22 m, which at that time was a world record.

(a) If the shot was released at a height of 2.20 m with a projection angle of 45.0°, what was its initial velocity?

a) 19.8 m/s
b) 24.8 m/s
c) 29.8 m/s
d) 34.8 m/s

Answer 1

Using projectile motion equations, the initial velocity of Udo Beyer's world record shot put throw, with a range of 22.22 m, a release height of 2.20 m, and projection angle of 45°, is calculated to be b) 24.8 m/s.

Step-by-step explanation:

The question involves calculating the initial velocity of a shot put throw with given parameters of distance, height, and projection angle, utilizing the principles of projectile motion. We can find the initial velocity using the range equation for projectile motion to find the horizontal component and then using the vertical motion equation to account for the initial and final height.

To solve part (a), we know from the range equation for projectile motion that range (R) = (vi^2 sin(2θ)) / g, where vi is the initial velocity, θ is the projection angle, and g is the acceleration due to gravity (9.81 m/s2). Given that the shot was thrown with a range of 22.22 m and at a 45° angle, and released from a height of 2.20 m, we solve for the initial velocity.

After calculating the time of flight using the vertical motion equation and substituting it into the range equation, we find that the correct option for the initial velocity is option b) 24.8 m/s.