In American football, a player attempts to score a field goal by kicking the ball above the goalposts. In the position shown, at what two possible angles, 0₁ and 82, can the player kick the ball to get the ball right above point B? 1.8 m VA = 35 m/s 0 A 30 m B 3.048 m
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- 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 0₂A ball is shot with a velocity of 24 m/s at an angle of 64° from the top of a 18 m tall building. What is the horizontal distance the ball travels when it hits the ground?Suppose a soccer player kicks the ball from a distance 15 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 44° above the horizontal. m/s
- Some boys use a catapult to launch a rock from the vantage point on top of a cliff, 15.7 m above the ground. The rock is launched at a speed of 28.5 m/s and an angle of 27.6° above the horizontal. How far from the cliff, does the launched rock hit the ground?Number An ion's position vector is initially 7 = (2.4 m )î + (−7.4 m )3 + (6.5 m ). In unit-vector notation, what is its average velocity during the 6.7 s? )ĵ i 1 + = 9.1 m )i + (−9.9 m )ĵ + (−10 m )k, ) + (-10 m ), and 6.7 s later it is -0.37313433 Ĵ + MI -2.46268657 k Units m/sA skier leaves the end of a horizontal ski jump at 21.0 m/s and falls through a vertical distance of 3.30 m before landing. (a) Neglecting air resistance, how long does it take the skier to reach the ground? s (b) How far horizontally does the skier travel in the air before landing? m
- A plane needs to drop supplies off to victims of natural disasters around the world. The first stop is for flood victims but they must drop the box so it lands perfectly on a target. If they are flying at 154 m/s and are 90.0 m above the ground, what distance before the target should they drop the package? 35.9 m 819 m 660. m 501 mThe best leader in the animal kingdom is the luma, which can jump to a height of 12 ft when leaving the ground at Ana angle if 45 degrees with what speed in si units must the animal leave the ground to reach that heightA boy throws a rock horizontally with a velocity of 8.0 m/s from a bridge. It falls 19.0 m to the water below. What is the magnitude of the velocity of the rock just before it hits the water?
- Show the following identity?Suppose a chinook salmon needs to jump a waterfall that is 1.44 m high. (a) If the fish starts from a distance 1.07 m from the base of the ledge over which the waterfall flows, find the x- and y-components of the initial velocity the salmon would need to just reach the ledge at the top of its trajectory. v0x = ? m/s v0y = ? m/s