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ILW A ball is shot from the ground into the air. At a height of 9.1 m, its velocity is
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FUNDAMENTALS OF PHYSICS - EXTENDED
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- A golf ball is hit upward from the ground, with an initial velocity of 66 meters per second, at an angle of 27° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. x-(v, cos e)r y=-4.912 + (vo sin 0)t +h Here vo is the initial velocity, 0 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) When does the golf ball reach its maximum height? Do not round any intermediate computations. Round your answer to the nearest hundredth. I| seconds (b) What is the maximum height of the golf ball? Round your answer to the nearest tenth. metersarrow_forwardA projectile is fired upward at an angle of 36.1 above the horizontal with an initial speed v; = 5.0 m/s. Write down the velocity vector v (in m/s) and the acceleration vector a (in m/s?) of the projectile at its maximum height in unit vector notations i and j O there is no answer O v= 2i + 0j m/s, a= 0i – 10j m/s? O v= 4i + 0j m/s, a = 0i – 10j m/s² O v= 5i + 0j m/s, a = 0i + 10j m/s? O v= 3i + 0j m/s, a = 0i + 10j m/s?arrow_forward. Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an inclination of 30*NE, V2 is 37* SE, V3 0*W and V4 is 45*NW. What is the resultant and its direction?arrow_forward
- The figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 01-32.0°, e2 = 49.0°, and 03 = 84.0°, and the distances are di 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. dz dg (a) Number 5.586 Units (b) Number 135 Units * (degrees)arrow_forwardA golf ball leaves the ground with an initial velocity vo = voxî + vovĵ. The ball hits a vertical wall which is located a horizontal distance b from the point of projection. When the ball strikes the wall, it is at a height h above the ground and it is moving horizontally. Which of the following choices correctly relates the ratio h/b to the components (vox , Voy) of the initial velocity. FL Vo harrow_forwardIT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =arrow_forward
- A ball is shot from the ground into the air. At a height of 7.5 m, its velocity is v = 7.5i + 6.1j m/s, with i horizontal and j upward. (a) To what maximum height does the ball rise? (b) What total horizontal distance does the ball travel? What are the (c) magnitude and (d) angle (below the horizontal; give as negative) of the ball's velocity just before it hits the ground? (a) Number Units (b) Number Units (c) Number Units (d) Number Unitsarrow_forward22. Three displacement vectors of a cro- quet ball are shown in Figure P3.22, where A 40.0 units, and |C (a) the resultant in unit-vector nota- 20.0 units, B 30.0 units. Find A. 45.0° tion and (b) the magnitude and direc- tion of the resultant displacement. 45.0 23. (a) Taking A = (6.00 i - 8.00 j) units, QIC B (-8.00 i + 3.00 j) units, and C = (26.0 i + 19.0 j) units, determine a Figure P3.2 and b such that a A + bB + C = 0. (b) A student has learned that a single equation cannot be solved to determine values for more than one unknown in it. How would you explain to him that both a and b can be determined from the single equation used in part (a):arrow_forwardThe figure shows the path taken by a drunk skunk over level ground, from initial point i to final point f. The angles are 0, - 32.0°, e2 = 49.0°, and e3 = 84.0°, and the distances are d= 4.80 m, d2 = 7.30 m, and d3 = 10.0 m. What are the (a) magnitude and (b) angle of the skunk's displacement from i to f? Give the angle as a positive (counterclockwise) or negative (clockwise) angle of magnitude less than 180°, measured from the +x direction. dy dg (a) Number 9.853 Units (b) Number -123.8 Units (degrees)arrow_forward
- The velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Draw the circle. When the particle is in the vector R position, draw vector R, vector V, vector A, and vector da/dt(time derivative of acceleration).arrow_forwardA ball is thrown from the edge of a cliff of height h=100 m with an initial horizontal velocity of Vy=10 m/s. a) How long does it take for the ball to reach the ground? b) How far has the ball traveled in the x direction when it hits the ground? c) What is the balls final velocity vector when it hits the ground? (Component form) d) What are the magnitude and direction of the ball's velocity when it hits the ground? (Polar form)arrow_forwardSuppose 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 sarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
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