A constant horizontal force Fa pushes a 7.50 kg FedEx package across a frictionless floor on which an xy coordinate system has been drawn. The figure gives the package's x and y velocity components versus time t. What are the (a) magnitude and (b) direction of F? Give the direction as a positive or negative angle of magnitude less than 180° relative to the +x-axis. vx (m/s) V, (m/s) 10 5 0 (a) Number i (b) Number i 1 2 3¹(s) Units Units 0 -5 -10 0 2 3 t (s)

A rock of mass 51.2 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 15.7 N. What is the magnitude of the acceleration of the rock?

The position of a dragonfly that is flying parallel to the ground is given as a function of time by 7 = [2.90 m + (0.0900 m/s²)t²] i – (0.0150 m/s³)t³ j. Part B At the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? Express your answer with the appropriate units. xa μÅ Xb a = 0.062 a b X.10n m Submit Previous Answers Request Answer ?

Problem 8: A person is standing on top of a building. While standing at the edge of the building the person throws a water balloon downward with a speed of 24 m/s and at an angle of 36° below the horizontal. It takes 3.1 s for the water balloon to hit the person's friend. Part (a) How high is the building in meters? Numeric : A numeric value is expected and not an expression. h = Part (b) How fast is the water balloon moving when it hits the friend on the ground? Give your answer in m/s. Numeric : A numeric value is expected and not an expression. v= Part (c) What was the horizontal distance between the friend on the ground and the building in meters? Numeric : A numeric value is expected and not an expression. dx = %3!

A girl throws a stone with an initial velocity of 4.44 m/s at 60.7° above the horizontal. If air resistance is negligible, after how much time tmax does the stone reach its maximum height? tmax S

The vector position of a particle varies in time according to the expression i = 7.40 î - 6.202² j where ř is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s? (c) Calculate the particle's position and velocity at t = 3.00 s. m m/s to

v(m/s) The opposite figure shows the relationship between speed and 3 time. an object is in motion, the distance traveled by the object t(s) during (6s) in meters is equal to: 3 6

A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided.  Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?

A small block travels up a frictionless incline that is at an angle of 30.0° above the horizontal. The block has speed 5.10 m/s at the bottom of the incline. Assume g = 9.80 m/s2. How far up the incline (measured parallel to the surface of the incline) does the block travel before it starts to slide back down?

An object moves in the x-y plane with a constant acceleration of 2i +3j meters per second squared. The object starts at the origin with some initial velocity. After four seconds (4 seconds) the velocity of the object is 2i + 8j meters per second. Determine the object’s initial velocity. Leave answer in i-j notation. Determine the position of the object at time, t = 4 seconds. Leave answer in i-j notation.   Thank you for your help.