QUESTION 4 Supply all missing information with the correct numerical values. Do not include the units. Round off all answers to two decimal places. Do not forget the negative sign (-) if needed. A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo = ( m/s) m/s) At the maximum height, the speed of the cannon ball is v = m/s and the magnitude of its acceleration is a = m/s?. S. The time needed to reach maximum height is t = m. The maximum height reached by the cannon ball is H =

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A vector has a horizontal component of -21 and vertical component of 46, what is the magnitude of this vector? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

5. When 12 times a number is added to the square of that number, the result is ‒32.  Determine the two numbers that fit this condition. Answer step-by-steps. 6. A cannonball is fired from ground level on an arc described by h = ‒t2 + 8t, where h = the height in metres and t is the time in seconds.  How many seconds after firing will it land? Answer step-by-steps.

And part b.) Determine the direction of vector V measured counterclockwise from the positive x-axis.

Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 113 m at an angle 30.0° north of east, and finally moves 179 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.) Cave entrance W m N E o south of east 8 What is the resultant displacement from the entrance? magnitude direction Final position Q

USE THE CORRECT NUMBER OF SIGNIFICANT FIGURES IN THE ANSWER!

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Your dog is running around the grass in your back yard. He undergoes successive displacements 3.56 m south, 8.52 m northeast, and 15.4 m west. What is the resultant displacement? (Take the +x direction to be east.) 8.45 X magnitude Your response differs from the correct answer by more than 10%. Double check your calculations. m direction Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.° counterclockwise from the +x direction