Question #91697
Question 11
A person standing on level beach throws a ball with a velocity of 22 m/s at an angle of 30o above the horizontal. How far away is the ball when it hits the beach and what is the time of flight?
1
Expert's answer
2019-07-19T14:09:41-0400

Vx=Vi×CosθVx=Vi\times Cos\theta

This is the horizontal component of velocity

Vx=22×Cos300Vx=22\times Cos30^0

Vx=19.05msVx=19.05\frac{m}{s}

Now the vertical component of velocityVy=Vi×SinθVy=Vi\times Sin\theta

Vy=22Sin300Vy=22*Sin30^0

Vy=11msVy=11\frac{m}{s}

Time of flight

t=2Vyat=\frac{2Vy}{a}

t=2*11/9.81

t=2.24sect=2.24sec

Distance traveled when hit the beach again

D=Horizontal velocity multiply by time of flight

D=19.05x2.24

D=42.76meter



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