Problem 3 You throw a ball towards a wall with a speed of 25 m/s and at an angle

Question

Problem 3 You throw a ball towards a wall with a speed of 25 m/s and at an angle of °-40° above the horizontal. The wall is at a distance of 22 m from the release point of the ball. (a) How far above the release point does the ball hit the wall? (b) What are the () horizontal and (i) vertical components of its velocity as it hits the wall? (20 points) Problem 4 A boy whirls a stone in a horizontal circle of radius 0.75 m and at a height of 1.5 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 4 m. What is the magnitude of centripetal acceleration of the stone during the (20 Points) Problem 5 A fan is rotating at 90 rpm. The tip of a blade is 0.25 m from the center of the fan. Find (a) distance the tip moves in one revolution, (b) speed of the tip, (c) acceleration of the tip, and (d) period of the motion. (20 Points)

Explanation / Answer

initial speed, u=25 m/sec

angle of projection, theta=40 degrees

distance between wall and release point is, d=22m

a)

time taken to reach the wall,

t=d/u*cos(theta)

t=22/(25*cos(40))

t=1.15 sec

now,

height ,h=u*sin(theta)*t -1/2*g*t^2

h=25*sin(40)*1.15-1/2*9.8*1.15^2

h=11.99 m or h=12 m

b)

horizontal component of velocity is,

ux=u*cos(theta)

ux=25*cos(40)

ux=19.15 m/sec

and

vertical component of velocity

uy=u*sin(theta)-g*t

uy=25*sin(40)-9.8*1.15

uy=4.8 m/sec

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