A stone is launched at t=0 with an initial velocity of vo = 23.3 m/s at an angle 80 = 38.2 degrees above horizontal. What is the horizontal component of displacement at t = 1.06 seconds? Δε= m What is the vertical component of displacement at t = 1.06 seconds? Ay = m
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- On a hot summer day, a young girl swings on a rope above the local swimming hole (Figure 1). When she lets go of the rope her initial velocity is 2.35 m/s at an angle of 35.0° above the horizontal. Figure Vo 35.0⁰ < 1 of 1 ▼ Part A If she is in flight for 0.618 s, how high above the water was she when she let go of the rope? Express your answer in meters. ►View Available Hint(s) h Submit Provide Feedback MacBook Pro л- |Π| ΑΣΦ P Pearson Po m 3 a 11 NexA golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.1 ft/sec², determine the values of r,r,r,0,0, and when t - 1.07 sec. Take the r-coordinate to be measured from the origin. Answers: r- 7 ! 0- 0- 0- i i i i i i 129 mi/hr 80 = 27° ft ft/sec ft/sec² rad/sec Wind rad/sec²A 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.
- Во Font Arial Bold B 2. In a basketball game, a player shoots the ball at a velocity of 4.31 m/s at 17.30 above the horizontal. A player on the other team jumps up and blocks the ball at the maximum height. A) Character How far horizontally does the ball travel to where it is blocked? B) How long is the ball in the air before being blocked C) If the ball wasn't blocked, what is the magnitude and direction of the velocity when the ball returns to the launch height? Explain' Alignment 73 Pictorial Representation am eee • Spacing 7 (31 hapt > Bullets & Lists +1 (31 / Did Mathematical Representation 22 Aa MacBook Pro F2 F3 DD F4 F5 F7 F8 F9 F10 F11 24 % & 4 7 8 E R U P ト 3.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?The figure depicts the sum of two velocities, vA and vB. The magnitude of the sum is 5.5 m/s and the angles shown in the image are θ1 = 26.3°, and θ2 = 16.1°. 1. Find the magnitude of velocity vA in meters per second. 2. Find the magnitude of velocity vB in meters per second.
- A person looking out the window of a stationary train notices that raindrops are falling vertically down at a speed of 3.36 m/s relative to the ground. When the train moves at a constant velocity, the raindrops make an angle of 25° when they move past the window, as the drawing shows. How fast is the train moving? Number i Units HOM 25A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 53.0° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance. SThe 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
- When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). What is the magnitude of your average acceleration during the trip? answer in km/h^2A mountain biker encounters a jump on a race course that sends him into the air at 44.8 degrees to horizontal. He lands at a horizontal distances of 26.7 meters and 13.1 meters below his launch point? What was his launch speed in m/s2