Name: In Class Assignment Projectile Motion Introduction In many sport activitie

Question

Name: In Class Assignment Projectile Motion Introduction In many sport activities the performer moves freely through the air. Diving, gymnastics high jumping, long jumping and figure skating are a few examples. In addition, sport implements are projected in events like shot put, discus throwing and baseball. In both cases, movements are classified under the heading of projectile motion and are controlled by physical laws Once the performer or projectile is in the air, only two external forces act upon it. The first is that due to gravity and the second is air resistance. The latter force is important in sports such as ski jumping or skydiving because of high velocities. However in most cases air resistance is very small and is ignored. Projectile motion is govemed by the following equations: Vf= vi + at vf2 vi 2+2ad d vit+.5at2 Problem 1 (10 points) A 60 kg diver performs a handstand dive from the 3 m tower. The diver's center of mass is 1.5 m above her hands in this position. Compute the following: a) The time to hit the water (the hands will enter the water fully extended) b) The diver's velocity at impact

Explanation / Answer

given,

mass of diver = 60 kg

height of tower = 3 m

by second equation of motion

s = ut + 0.5 * gt^2

since the initial velocity is 0 so,

s = 0.5 * gt^2

3 = 0.5 * 9.8 * t^2

t = 0.7824 sec

time to hit the water = 0.7824 sec

by first equation of motion

v = u + at

v = 0 + 9.8 * 0.7824

v = 7.667 m/s

diver's velocity at impact = 7.667 m/s

*kindly post 1 question at a time

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