Expert TA | Human-like Gradi X + .com/Common/TakeTutorialAssignment.aspx Week3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 8: A baseball is thrown with velocity vo at an angle 0 - 43 above the horizontal. The vertical component of the initial velocity is vo,y = 11.75 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. A 33% Part (a) Create an expression for the ball's initial horizontal velocity component, vo,r, in terms of voy, sin(0), and cos(0). VO, I Grade Summary Deductions 0% Potential 100% cos(a) cos(Q) coste) sin() () 7 8 9 Submissions sin(() sin(0) tan(0) 4 5 6 Attempts remaining: 999 B (0% per attempt) d detailed view g h K m P VOY VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 4 Feedback: 0% deduction per feedback. A 33% Part (b) Calculate the horizontal component, in meters per second, of the initial velocity. A 33% Part (c) Find the magnitude, in meters per second, of ball's initial velocity. All content @ 2023 Expert TA, LLC Q Search F10 F11 F12 F3 S % 3 4 P WWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 9: A student standing on a cliff throws a projectile from a vertical height of d = 8.0 m above the level ground with velocity vo = 19 m/s at an angle 0 = 320 below the horizontal, as shown. It moves without air resistance. Use a Cartesian coordinate system with the origin at the initial position of the projectile. y A To ted ted ted ted ted ted 50% Part (a) With what speed, in meters per second, does the stone strike the ground? m/s Grade Summary Deductions Potential 100 eted sin() cos() tan() TT ( ) 7 8 9 HOME Submissions cotan() asin() acos() E 4 5 6 Attempts remaining: 999 atan() sinh() 1 2 3 (0% per attempt) acotan() detailed view cosh() tanh() cotanh() 0 O Degrees O Radians VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 6 Feedback: 0% deduction per feedback 4 50% Part (b) If the projectile had been thrown from the clifftop with the same initial speed and the same angle, but above the horizontal, would its impact velocity be different? All content & 2023 Expert TA, LLC F 10 F12 X FS S O Co 4 5 PWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 10: During service, a tennis ball is struck at height h = 2.24 m above a tennis court, and it moves with the initial velocity vo = (27.7 m/s) i. Assume the ball encounters no air resistance. Use a Cartesian coordinate system with the origin located at the ball's initial position, with i directed horizontally, parallel to the court's surface, and j directed vertically upwards. 33% Part (a) Calculate the horizontal component, in meters per second, of the ball's velocity as it strikes the court. m/s Grade Summary Deductions Potential sin() cos() tan() 7 8 9 HOME Submissions . cotan() asin() acos() E 5 6 Attempts remaining atan() acotan() sinh() 2 3 0% per attempt) detailed view cosh() tanh() cotanh() 0 O Degrees ORadians VO Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. 4 33% Part (b) How long, in seconds, does the tennis ball remain in the air before striking the court? A 33% Part (c) What horizontal distance, in meters, does the tennis ball travel before striking the court? All content @ 2023 Expert TA, LLCWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 11: A basketball point guard launches a free-throw with initial velocity vo = 4.5 m/s at an angle 0 = 340 above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball's horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance. 4 50% Part (a) Determine the maximum vertical height /max, in meters, the ball attains above the release point. hmax | m Grade Summary Deductions 0% Potential 100% sin() cos() tan() 7 8 9 HOME Submissions cotan() asin( acos() E 4 5 6 Attempts remaining: 999 atan() acotan() sinh() 1 2 3 0% per attempt) detailed view cosh() tanh() cotanh() 0 O Degrees O Radians VO Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback. 6 50% Part (b) Determine the time, t in seconds, the basketball takes to reach its maximum vertical height. All content @ 2023 Expert TA, LLCWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (5%) Problem 12: Suppose a soccer player kicks the ball from a distance 23 m in the direction of the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the intitial direction to be 40 above the horizontal. vo = 1 Grade Summary Deductions 0% Potential 100% sin() cos() tan() TE ( ) 7 8 9 HOME Submissions . cotan() asin() acos() 4 5 6 Attempts remaining: 999 atan() acotan() sinh() (0% per attempt) detailed view cosh( tanh( cotanh() END O Degrees O Radians CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: Feedback: 0% deduction per feedback. All content 2023 Expert TA, LLCWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (5%) Problem 14: A runner completes one lap around a circular track with at a time of 272 s at a constant speed of 3.9 m/s. D 4 50% Part (a) What is the radius, in meters, of the track? r = m sin() cos tan() 7 8 9 HOME cotan() asin() acos() E 4 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh( ) 0 END Degrees O Radians CLEAR Submit Hint Feedback I give up! Hints: 0% deduction per hint. Hints remaining: _ Feedback: 0% deduction per feedback. 6 50% Part (b) What was the runner's centripetal acceleration, in meters per squared second, during the run? All content 2023 Expert TA, LLCWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (10%) Problem 15: An airplane's altimeter measures its altitude to increase at a speed of Vvertical = 24.5 m/s. An observer on the ground sees the plane's shadow moving along the ground at Vhorizontal = 127 m/s while the sun and plane are directly overhead. Use a standard Cartesian coordinate origin located at the observer's position on the ground, with the plane's horizontal velocity in the x direction. vertical Randomized Variables Vvertical = 24.5 m/s horizontal = 127 m/s X horizontal Otheexpertta. 33% Part (a) Express the plane's velocity vector, v, in component form in terms of i, J, Vvertical and Vhorizontal- Grade Summary Deductions Potential B ( 7 8 9 HOME Submissions a d g 4 5 6 Attempts remainin h 2 0% per attempt detailed view k m P 0 Vhorizontal Vvertical VO CLEAR Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback 33% Part (b) Calculate the plane's airspeed, v in m/s. 33% Part (c) At what angle, 0 in degrees, above horizontal is the plane climbing? All content @ 2023 Expert TA, LLCWeek3 Begin Date: 6/15/2023 11:59:00 PM -- Due Date: 6/27/2023 11:59:00 PM End Date: 8/10/2023 11:59:00 PM (6%) Problem 4: A car moves along a horizontal road with constant velocity NO = VO,I i - (33.6 m/s) i until it encounters a smooth inclined hill. It climbs the hill with constant velocity 71 = V1,I i + v1,y j - (34.2 m/s) i + (6.23 m/s) j At = 3.19 s. as indicated in the figure. The period of time during which the car changes its velocity is provided. 50% Part (a) Enter an expression, in Cartesian unit-vector notation, for the average acceleration of the car during the given time period using the symbols davg ( 0.188 m ) i+ ( 1.953 m ) j Grade Summary Deductions 0% Potential 100% At 7 8 9 HOME Submissions d g 4 5 6 Attempts remaining: 996 m Vo 2 (0% per attempt) detailed view VOX y 1 V 1x END 0% Vly VO BACKSPACE DEL CLEAR 0% w t 0% Submit Hint I give up! Hints: 1 for a 0% deduction. Hints remaining: Feedback: 0% deduction per feedback -What is the definition of average acceleration? Make sure you enter this as a vector expression, which means you need to understand what the unit vectors are. 50% Part (b) What is the magnitude, in meters per squared second, of the car's average acceleration during the given time period. davg = 1.962 m/$2 Correct! All content $ 2023 Expert TA, LLC