Homework 20 You must t show all work to receive credit. Write in a clear and org

Question

Homework 20 You must t show all work to receive credit. Write in a clear and organized manner; unclear work will not receive credit. 1 Warm-up Questions At 0, a football is kicked with an initial velocity of 25.0 m/s at an angle 15° above the horizontal. This ball undergoes projectile motion where air resistance is negligible. It's usually simplest to take the initial position (at t 0 as the origin, as shown on the picture, with the typical choice (r horizontal, y vertical) of coordinates. a) What is the z-component of the ball's initial velocity vector b) What is the y-component of the ball's initial velocity vector c) What is the direction of the acceleration of the ball (after it is in the air): d) What is the r-component of the acceleration vector: e) What is the y-component of the acceleration vector f) Express horizontal and vertical components in terms of the variable t (hint -which ones are constant? ones are 0?): the projectile's position Ft), velocity (), and acceleration ã(t) by separate equations for the which x(t) = y(t) tr(t) = vy(t) ax(t) = ay(t)

Explanation / Answer

here,

initial velocity , v = 25 m/s

theta = 15 degree

a)

the x-component of the ball's initial velocity , vx = v * cos(theta) = 24.1 m/s

b)

the y-component of the ball's initial velocity , vy = v * sin(theta) = 6.47 m/s

c)

the direction of the accelration is dowrads

d)

the x-component of accelration vector is zero

e)

the y -component of accelration vector is g = 9.81 m/s^2 downwards

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