The rectilinear velocity of a particle is: v(t)=1.0*t^1.0+2.0*t+2.0 m/s. Determine the displacement in m of the particle after 1.0 s.

In a system where the Froude model will be used, the flow rate for the prototype is given as 3 m3 / s. In the model, the velocity at point A is 0.2 m / s and the force acting on point A is calculated as 1 N. Calculate the flow rate and velocity of the point corresponding to point A in the model and the magnitude of the force affecting the same point. Determine the pressure scale. The geometric scale will be taken as 1/100. Fluids used in the model and prototype are the same and are water

Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79. Find the maximum height of the projectile. (Round your answers to two decimal places.)

A truck travels up an incline that is defined by the function y = – 0.00475 · x² + 16 ft. The truck has a ft constant speed of 60 Hints: 1. Note the direction the truck is driving y y = f(x) di Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 70 ft 70 ft. b. Determine the y-component of the truck's velocity, Vy/y, at x = 70 ft. a. Determine the x-component of the truck's velocity, V/x, at x =