A baseball with mass of 0.14 kg is batted into the air. Its initial speed is 47.4 m/s, directed at an angle 14 degrees above the horizontal. After 1.5 seconds, what is the vertical component of the ball's velocity (in m/s)? Use positive values for the upward direction, and negative values for the downward direction.

A batter hits a fly ball with an initial velocity of 37 m/s at an angle of 32° from the horizontal. How much time does the outfielder have to get to the appropriate position to catch the ball?

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.9 ft/sec2, determine the values of r, r˙, r¨, θ, θ˙, and θ¨ when t = 1.18 sec. Take the r-coordinate to be measured from the origin.

In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north. Take north to be the positive y direction and east to be the positive x direction. Express your answers in km/h. What is the x component of the bird’s average velocity?  What is the y component of the bird’s average velocity?

A baseball pitcher throws a pitch with an initial velocity of 45 m/s (100 mph!), directed horizontally. You will be asked to find how far the ball drops vertically by the time it crosses the plate 18.0 m away.  Find the time it takes for the ball to travel the horizontal distance to the plate.    2.5 s   0.40 s   4.6 s   0.22 s

The vector position of a particle varies in time according to the expression r = 9.00 î - 8.00t? ĵ where r 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.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) a = m/s2 (c) Calculate the particle's position and velocity at t = 3.00 s. ř = m/s Type here to search 近

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 ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer

A placekicker is about to kick a field goal. The ball is 21.7 m from the goalpost. The ball is kicked with an initial velocity of 19.1 m/s at an angle above the ground. Between what two angles, 0₁ and 02, will the ball clear the 2.67-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 0 = 1/(cos) and sec²0 = 1 + tan²0.) (a) Number (b) Number Units Units 0₂