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Learning Goal: To understand how to apply the equations for one-dime standard formulas for the range and height of a projectile. Find the time to it takes the projectile to reach its maximum height H. (Figure 1) A projectile is fired from ground level at time t = 0, at an angle d with respect to the horizontal. It has an initial speed to. In this problem we are assuming that the ground is level. Express to In terms of vo. 8, and g (the magnitude of the acceleration due to gravity). View Available Hint[8) F OIB tH Submit Previous Answers * Incorrect; Try Again; 4 attempts remaining Part B Find to. the time at which the projectile hits the ground after having traveled through a horizontal distance R. Express the time In terms of wo, e, and g. View Available Hint[8) VO TALO Submit Part C Find H. the maximum height attained by the projectile. Express your answer In terms of un, 8, and g. View Available Hint(8) FOB ? Figure Submit Part D H Find the total distance It (often called the range) traveled in the X direction; see the figure in the problem introduction. Express the range In terms of Up, 8, and g. View Available Hint[a) R(Figure 1)A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The O E ? airplane flies horizontally with constant speed of 322 km/hour at an altitude of 575 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D t = from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the free-fall acceleration is g = 9.80 m/s . Submit Previous Answers * Incorrect; Try Again; 5 attempts remaining Part B If the package is to land right on the island, at what horizontal distance D from the plane to the island should the package be released? Express the distance numerically in meters. > View Available Hint(s) AEd D: m Submit Figure Part C What is the speed up of the package when it hits the ground? Vo L. Express your answer numerically in meters per second. View Available Hint(s) AEd ? 165.27 m/s In 17 Submit Previous Answers D? You are given a vector in the ry plane that has a magnitude of 90.0 units and a y component of -62.0 units. 109.28, - 109.28 units Submit Previous Answers Request Answer * Incorrect; Try Again; 4 attempts remaining Part B Assuming the r component is known to be positive, specify the magnitude of the vector which, if you add it to the original one, would give a resultant vector that is 80.0 units long and points entirely in the - direction. AEd V = 149.4 units Submit Previous Answers Request Answer * Incorrect; Try Again; 5 attempts remaining Part C Specify the direction of the vector. Express your answer using three significant figures. AEQ 0 ? above -I-axisPart A An athlete performing a long jump leaves the ground at a 28.0 angle and lands 7.67 m away. What was the takeoff speed? Express your answer using three significant figures and include the appropriate units. HA ? U= Value Units Submit Request Answer Part B If this speed were increased by just 5.0%, how much longer would the jump be? Express your answer using two significant figures and include the appropriate units. ? Ad = Value UnitsIt a wind begins blowing from the southwest at a speed of 110 km/h (average), calculate the velocity (magnitude) of the plane relative to the ground. [Hint: First draw a diagram.] Express your answer to three significant figures and include the appropriate units. An airplane is heading due south at a speed of 670 km/h . HA Value km / h Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B Calculate the velocity (direction) of the plane relative to the ground. Express your answer to three significant figures and include the appropriate units. Value deg east of south Submit Request Answer Part C Calculate how far from its intended position will it be after 18 min if the pilot takes no corrective action. Express your answer to three significant figures and include the appropriate units. HA Ar = ValuePart A Romeo is throwing pebbles gently up to Juliet's window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden h = 7.0 m below her window and How fast are the pebbles going when they hit her window? L = 8.8 m from the base of the wall (Figure 1). Express your answer to two significant figures and include the appropriate units. ? Figure