A student standing in a canyon yells "echo", and her voice produces a sound wave of frequency of f = 0.54 kHz. The echo takes t = 2.1 s to return to the student. Assume the speed of sound through the atmosphere at this location is v = 320 m/s. f = 0.54 kHz
t = 2.1 s
v = 320 m/s
A) Input an expression for the distance, d, the canyon wall is from the student.
d=
B) How many wavelengths are between the student and the wall?
N=

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.