49. Hitting a Baseball Orlando hits a ball when it is 4 ft above ground level with an initial velocity of 160ft/sec. The ball leaves the bat at a 20∘ angle with the horizontal and heads toward a 30−ft fence 400 ft from home plate. How strong must a split-second wind gust be (in feet per second) that acts directly with or against the ball in order for the ball to hit within a few inches of the top of the wall? Estimate the answer graphically and solve algebraically.