Solve the following application problem: The model s(t) = -16?2 + 5? + 3 describes the height(in feet) of a diver at time ? is measured in seconds. Find the velocity of the diver when the diver hits the water.

The right answer should be F_lift= 105 kip and F_thrust= 415 kip. I tried many times with acceleration in horizontal but couldn’t get these correct numbers.

A train travels between two stations 1/2 mile apart in a minimum time of 41 sec. If the train accelerates and decelerates at 8 ft/sec^2, starting from the first station and coming to a stop at the second station, what is its maximum speed in mph? How long does it travel at this top speed?

1. The wheel starts rotating from rest, 5) if its angular velocity W as a function of angular position is w=0.2-0², where 0 is in radian, and its radius ris 0.3 m, what is the magnitude of the total linear acceleration (in m/s2) of point P after the wheel has turned 1.4 revolution(s) from rest. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Your Answer: Answer P

Please don't provide handwritten solution .....

1- 3D model with dimensions (SE or SW view) and 2- The 3D model's Top view Note : use creo parametric to show the above view R30 R12 70 20 R20 40 20 26 024 24 R16 50 20 80 100

The model of a river is constructed to a scale of 1/60. If the water in the river flows at 38 ft/s, how fast must the water flow in the model (ft/s)?

Look at the below system. Using either the conservation of energy method or Lagrange's method, solve for the governing equation of motion for the system. Put a box around your final answer. Also, put a box around your equations for the potential and kinetic energy of the system. Assume the system's springs are initially unstretched (i.e., assume that there is no gravity until t = 0 [s]). K₁ Î E K₂ X

Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8 Problem 1: Gnome Ride - This from a Previous Exam I. A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: y(t) = C cos(wt) Here w is a constant given angular frequency, C is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Some Possibly Useful…

I want to run several shocks in my calibrated DSGE model. I want the shock “a” to happen at period 0, shock “b” at period 2 and shock “c” at period 5. Also, I want to run a shock of 1 % to the variable “a”, 2 % to variable “b” and 10 % to variable “c”. How would I write it in the Dynare code? The model is log-linearized around the steady state and all endogenous variables are set at 0 at the steady state.