Written Answer Question 2: A projectile is shot off over horizontal ground at a

Question

Written Answer Question 2: A projectile is shot off over horizontal ground at a constant initial speed and at varyinginitial ange. A plot is made of the range (or horizontal distance that the ball travelled) vs. sin/2e) where e is the angle of the initial velocity measured with respect to the horizontal axis. Noting that at 45 ,the distance the ball should travel is v2/g d the linear fit of the data gives the slope of the line as a) What is the initial speed of the ball? b) What should the y-intercept of the graph be?

Explanation / Answer

range of a projectile R = v^2*sin(2*theta)/g

v^2/g = R/sin(2*theta) = slope

from the graph

slope = 1.1

v^2/g = 1.1

v = sqrt(1.1*9.8)

v = 3.28 m/s <---answer

b)

slope = y /x

1.1 = -y/0.82

y = -0.902   <-----answer

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