Determine the drag coefficient c needed for a parachutist of mass m = 68.1 kg to have a velocity of v = 40 m/s after free-falling for time t = 10 s. let the acceleration of gravity be g = 9.8 m/s2. recall the equation for free-fall velocity of an object:
(a) using calculus knowledge, follow example 1.1 to obtain the analytical solution for the velocity the case where the jumper is initially at rest (v = 0 at t = 0).
(b) repeat the numerical calculation for the velocity with the same initial condition and parameter values. use a value of 0.225 kg/m for.
(c) program in excel to obtain the analytical solution and numerical solution from t=0 to 20 seconds. plot both solutions in the same figure. provide me your programming code and figure.

Time remainin52: 42the chart shows data for a moving object.which conclusion is best supported by the information inthe chart? time (s)velocity (m/s

The frequency of vibrations of a vibrating violin string is given by f = 1 2l t ρ where l is the length of the string, t is its tension, and ρ is its linear density.† (a) find the rate of change of the frequency with respect to the following. (i) the length (when t and ρ are constant) (ii) the tension (when l and ρ are constant) (iii) the linear density (when l and t are constant) (b) the pitch of a note (how high or low the note sounds) is determined by the frequency f. (the higher the frequency, the higher the pitch.) use the signs of the derivatives in part (a) to determine what happens to the pitch of a note for the following. (i) when the effective length of a string is decreased by placing a finger on the string so a shorter portion of the string vibrates df dl 0 and l is ⇒ f is ⇒ (ii) when the tension is increased by turning a tuning peg df dt 0 and t is ⇒ f is ⇒ (iii) when the linear density is increased by switching to another string df dρ 0 and ρ is ⇒ f is ⇒

The electric field between square plates of a parallel-plate capacitor has magnitude e. the potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation, which is small compared to the dimensions of the plates. the magnitude of the electric field between the plates is now equal to a)e b)e/4 c)e/2 d)4e e)2e