A golf ball is kicked with an initial speed of 31 m/s at an angle of 15° above the horizontal. Calculate the ball's speed at the highest point of its trajectory.
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- A basketball is thrown at 45° to the horizontal. The hoop is located 3.6 m away horizontally at a height of 1.2 m above the point of release. What is the required initial speed? m/sDuring volcanic eruptions, chunks of solid rock can be blasted out of the volcano; these projectiles are called volcanic bombs. The figure shows a cross section of Mt. Fuji, in Japan. (a) At what initial speed would a bomb have to be ejected, at angle 0 d = 10.0 km? Ignore, for the moment, the effects of air on the bomb's travel. (b) What would be the time of flight? 32° to the horizontal, from the vent at A in order to fall at the foot of the volcano at B, at vertical distance h = 3.40 km and horizontal distance (a) Number Units (b) Number UnitsA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 17.0 m/s. The cliff is h = 51.0 m above a flat horizontal beach, as shown in the figure below. How long after being released does the stone strike the beach below the cliff? (s) With what speed and angle of impact does the stone land? ( m/s) ( ° below the horizontal)
- In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/secA boy throws a tennis ball to the wall which is 7.5 m away. At the moment when the ball hits the wall, its vertical component remains unchanged while the horizontal component reverses. Assuming that the initial velocity of the ball is vo = 20.0 m/s, it makes an angle a = 60° with the horizon, and the release height is 1.5 m, find the vo = 20 m/s m. following (take the gravitational acceleration 9.8): a || a) At which height the ball hit the wall? 1.5 m b) How long did it take to reach the wall? c) How long was the ball in the air after it hit the wall? d) Where did the ball hit the ground? (distance from the wall) e) What is the velocity of the ball when it reaches the ground? f) What is the maximum height the ball reaches? 7.5 m Important: Draw a sketch defining a coordinate system: x- and y-axes and the origin. Without this sketch the problem will be considered as not-solved!
- A lacrosse player is practicing against a wall. The ball leaves his stick 2.3 meters above the ground at a 33.5 degree angle from the horizontal with a speed of 9.3 m/s. The ball then hits the wall, 3.7 meters away. How high above the ground does the ball make contact with the wall?The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 63.9 m/s and at angle 12.1 degrees above the horizontal. The rock strikes the side of the volcano at an altitude of 90.6m lower than its starting point. Calculate the magnitude of the rock’s velocity at impact? Use g = 9.8 m/s2.You are to throw a ball with a speed of 13.4 m/s at a target that is height h = 3.50 m above the level at which you release the ball (see the figure). You want the ball's velocity to be horizontal at the instant it reaches the target. (a) At what angle θ above the horizontal must you throw the ball? (b) What is the horizontal distance from the release point to the target? (c) What is the speed of the ball just as it reaches the target?
- In the figure, a stone is projected at a cliff of height h with an initial speed of 45.0 m/s directed at an angle 0 = 54.0 ° above the horizontal. The stone strikes at A, 5.64 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. PATA PA (a) Number i Units (b) Number i Units (c) Number Units > >A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 19.2 m/s at an angle of 43.0˚ above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.A physics student stands on a cliff overlooking a lake and decides to throw a tennis ball to her friends in the water below. She throws the tennis ball with a velocity of 25.5 m/s at an angle of 38.5° above the horizontal. When the tennis ball leaves her hand, it is 10.5 m above the water. How far does the tennis ball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer. horizontal distance: