Using the MATLAB program above of (free fall with drag force) to answer the following questions Show all work when needed A If a raindrop falls from a cloud 2000 m above the ground, what would be the velocity when it hits the ground with no drag force with drag force Estimate the force of a drop hitting your head if it comes to a stop in deltat 0 1s (Recall that F deltap deltat ) V (no drag) V(w drag) Force Would this be dangerous for you to be outside If a 12 hailstone falls from a cloud 2000 m above the ground, what would be the velocity when it hits the ground with no drag force with drag force Estimate the force of a hail stone hitting your head if it comes to a stop in deltat 0 01s V (no drag) V(w drag) Force Would this be dangerous for you to be outside Estimate the speed of a penny dropped from the observation deck of the Empire State building when it hits the ground Estimate the force when it hits the ground if it comes to a stop in deltat 0 01s Would this be dangerous for you to be outside V (no drag) V(w drag) Force W NP Join W NOCOJO UTILITI Eulers Equation example 1 m X $ Initialize Variables Vo 4 a 9 8 dt 1 tstart 0 tend 14 t tstart dt tend veulersvo A 0042 rho 1 2 C 5 mass 145 for i 2 length(t) vexact (i) v0 a t(i) Exact Solution h(i 1) a ( 5 A rho C (veuler(i 1)) 2) mass veuler (i) veuler (i 1) h (i 1) dt Euler's Method end 19 20 N N LAW NA N N 1 Plot and compare plot(t, vexact, 'b ',t, veuler, 'ro') xlabel('Time (3)') ylabel('Velocity (m s)') legend('Exact', 'Euler Method') W NP Join W NOCOJO UTILITI Eulers Equation example 1 m X $ Initialize Variables Vo 4 a 9 8 dt 1 tstart 0 tend 14 t tstart dt tend veulersvo A 0042 rho 1 2 C 5 mass 145 for i 2 length(t) vexact (i) v0 a t(i) Exact Solution h(i 1) a ( 5 A rho C (veuler(i 1)) 2) mass veuler (i) veuler (i 1) h (i 1) dt Euler's Method end 19 20 N N LAW NA N N 1 Plot and compare plot(t, vexact, 'b ',t, veuler, 'ro') xlabel('Time (3)') ylabel('Velocity (m s)') legend('Exact', 'Euler Method')

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Using the MATLAB program above of (free fall with drag force) to answer the following questions. Show all work when needed. A. If a raindrop

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Using the MATLAB program above of (free fall with drag force) to answer the following questions. Show all work when needed.

A. If a raindrop falls from a cloud 2000 m above the ground, what would be the velocity when it hits the ground with no drag force? with drag force? Estimate the force of a drop hitting your head if it comes to a stop in deltat=0.1s. (Recall that F = deltap/deltat.)

V (no drag) = ____________ V(w/drag) = ____________ Force = ________________

Would this be dangerous for you to be outside?

If a 12 hailstone falls from a cloud 2000 m above the ground, what would be the velocity when it hits the ground with no drag force? with drag force? Estimate the force of a hail stone hitting your head if it comes to a stop in deltat=0.01s.

V (no drag) = ____________ V(w/drag) = ____________ Force = ________________

Would this be dangerous for you to be outside?
Estimate the speed of a penny dropped from the observation deck of the Empire State building when it hits the ground. Estimate the force when it hits the ground if it comes to a stop in deltat=0.01s.

Would this be dangerous for you to be outside?

V (no drag) = ____________ V(w/drag) = ____________ Force = ________________

W NP Join W NOCOJO UTILITI Eulers_Equation_example_1.m X + $ Initialize Variables Vo=4; a=9.8; dt=.1 tstart=0; tend=14; t=tstart:dt:tend; veulersvo; A=.0042; rho=1.2; C=.5; mass=. 145; for i=2: length(t) vexact (i)=v0+a*t(i); Exact Solution h(i-1)=a-(.5*A*rho*C* (veuler(i-1))^2) /mass; veuler (i)=veuler (i-1)+ h (i-1) *dt; Euler's Method end 19 20 N N LAW NA N N 1 & Plot and compare plot(t, vexact, 'b-',t, veuler, 'ro'); xlabel('Time (3)'); ylabel('Velocity (m/s)'); legend('Exact', 'Euler Method'); W NP Join W NOCOJO UTILITI Eulers_Equation_example_1.m X + $ Initialize Variables Vo=4; a=9.8; dt=.1 tstart=0; tend=14; t=tstart:dt:tend; veulersvo; A=.0042; rho=1.2; C=.5; mass=. 145; for i=2: length(t) vexact (i)=v0+a*t(i); Exact Solution h(i-1)=a-(.5*A*rho*C* (veuler(i-1))^2) /mass; veuler (i)=veuler (i-1)+ h (i-1) *dt; Euler's Method end 19 20 N N LAW NA N N 1 & Plot and compare plot(t, vexact, 'b-',t, veuler, 'ro'); xlabel('Time (3)'); ylabel('Velocity (m/s)'); legend('Exact', 'Euler Method')