You take a picture under following conditions. f/2, ss 1/1000 seconds, light source 1.75 m away. You change the f # to f/4 and the shutter speed to 1/125 seconds. 1.) How many f-stops did you change?

2.) Just for the f-stop change, your exposure changed by what factor? Use a fraction if amount of light decreased.

3.) By what factor did you change the shutter speed?

4.) Just for the shutter speed change, your exposure changed by what factor? Use a fraction if amount of light decreased.

5.)What is the total exposure change?

6.)To compensate, you need to change the exposure from the light source by what factor?

7.) Calculate the distance where the light should be placed to get the same exposure

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.