A football kicker can give the ball an initial speed of 31 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 48 m in front goalposts whose horizontal bar is 3.44 m above the ground? (a) Number Units (b) Number Units
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- -b+√b²-4ac 2a x = x₂ + V₁xt + ²axt², V₁₁x = V₁x + axt, (v₁₁x)² = (v₁x)² + 2axx, t == у = V₁ + V₁¸yt + ² α¸t², Vf₁y = V₁y+āÿt, (Vƒ‚y)² = (v₁y)² + 2a,ÿThe height y (in feet) of a ball thrown by a child is 1 x²+4x +5 12 y = - where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet Question Help: DPost to forum Submit Question esc Search c @ 1 3 4 5A baseball is hit from a height of 1.0 m at an angle of 27 degrees above the ground. It just barely clears a fence that is 4.0 m tall and 122 m away. What was the initial speed of the ball when it was hit? (ignore air resistance)
- 7) A ball is launched upwards from the ground with some initial velocity at an angle of 45° relative to the horizontal. Suppose it travels 30m horizontally before landing again. a) What is its initial launch velocity? b)What is the highest point it reaches?Suppose soccer player plays boots the ball from distance 29 m into 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 directions 40 degrees above horizontalSuppose a soccer player kicks the ball from a distance 31 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 49° above the horizontal.
- A ball thrown horizontally at 12.5 m/s from the roof of a building lands 21.0 m from the base of the building. a) How tall is the building?Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball from ground level with the (x, y)-coordinates (76, 21) on the soccer field shown in the figure and with initial velocity Vo = 8i - 4j + 23k ft/s. Assume an acceleration of 32 ft/s² due to gravity and that the goal net has a height of 8 ft and a total width of 24 ft. 105 ft 3- 105 ft r₁ = rj = 165 ft rk = 0 Determine the position function that gives the position of the ball t seconds after it is hit. (Use symbolic notation and fractions where needed.) r(t) = ri(t)i + rj(t)j + rk(t)k 165 ft 12 12A football kicker can give the ball an initial speed of 31 m/s. What are the (a) least and (b) greatest elevation angles at which he can kick the ball to score a field goal from a point 41 m in front of goalposts whose horizontal bar is 3.44 m above the ground? (a) Number i (b) Number i Save for Later Units Units Attempts: unlimited Submit Answer