A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo = ( m/s) î + ( m/s) Î At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a m/s?. The time needed to reach maximum height is t = S. The maximum height reached by the cannon ball is H = m.

An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2. If the speed is increased 17.5%, by what percentage does the radial acceleration increase?

The coordinates of a bee flying in the xy-plane are given by x(t) = At and y(t) = C - Bt², where A = 3.2 m/s, B = 1.4 m/s², and C= 2.5 m. Calculate the velocity and acceleration vectors of the bee as a function of time. Write your answers in unit vector notation.

A ball is thrown from a rooftop with an initial downward velocity of magnitude vo = 4.2 m/s. The rooftop is a distance above the ground, h = 21 m. In this problem use a coordinate system in which upwards is positive.     Part (a) Find the vertical component of the velocity, vfy, in meters per second, with which the ball hits the ground. Numeric   : A numeric value is expected and not an expression.vfy = __________________________________________Part (b) If we wanted the ball's final speed to be exactly 27.3 m/s, from what height, hnew (in meters), would we need to throw it with the same initial velocity?Numeric   : A numeric value is expected and not an expression.hnew = __________________________________________Part (c) If the height is fixed at 21 m, but we wanted the ball's final speed to be 32.7 m/s, what would the vertical component of the initial velocity viy need to be, in meters per second?Numeric   : A numeric value is expected and not an expression.viy =…

Suppose that a particle begins its motion from the origin and meets the velocity (in m / s) given by: vx (t) = 2.50t vy (t) = 3.50√t.    for t> 0 in seconds. Find the speed of the particle at t = 5.00 s  What is the acceleration vector (in rectangular components) at t = 2.00 s ? Find the magnitude of the displacement between t = 0.00 s and t = 6.00 s

A cannonball was shot upward from a 50 meter tower. The cannonball traveled a total x displacement of 100 meters in 5.5 seconds before hitting the ground. What was the initial velocity of the cannonball in both magnitude and direction, in unit vector notation?

The position vector of a particle in 2D is given by r(t) = (bwt + b sin(wt)) â + (b + bcos (wt)) ŷ, where b and w are constants. Find the velocity, v(t), and acceleration, a(t), of the particle. Is the speed of the object constant?

The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The plane releases a package 2.0 s after takeoff. What is the magnitude of the velocity (in m/s) when the packaged is released? Report your answer in the appropriate number of significant digits. Answer value

An object moves in the x-y plane with coordinates given as a function of time by: x(t) = Rcos(ωt) y(t) = Rsin(ωt) where R and ω are constants. What is the velocity vector of the object at any time t?

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v (0.3t) ft/s², where t is in seconds. Take p = 350 ft. (Figure 1) Figure 60° p 1 of 1 Part A If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. V = Part B _O Submit a = Value μA 7 Request Answer If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. Submit μA Value Units Request Answer ? Units ?