y The skateboard rider leaves the ramp at A with an initial velocity VA at a 30° angle. If he strikes the ground at B, determine vA and the time of flight. 3. y = (-1,5 (10-³) x² + 15) ft 15 ft х 100 ft

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 17.9 min. a.If the straight-line distance from her home to the university is 10.310.3 km in a direction 28.028.0º south of east, what was her average velocity? (magnitude and direction south of east) b.If she returned home by the same path 6.50h after she left, what was her average speed for the entire trip?

When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v (0.3t) ft/s², where t is in seconds. Take p = 350 ft. (Figure 1) Figure 60° p 1 of 1 Part A If he starts from rest at A, determine the magnitude of his velocity when he reaches B. Express your answer to three significant figures and include the appropriate units. V = Part B _O Submit a = Value μA 7 Request Answer If he starts from rest at A, determine the magnitude of his acceleration when he reaches B. Express your answer to three significant figures and include the appropriate units. Submit μA Value Units Request Answer ? Units ?

At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2

Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0° cw from the -y axis a) b) Sketch the vector ₁ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of ₁. Write the vector in terms of its components using unit vector notation. c) d) e) v₂ – v- Calculate the x- and y-components of the change in velocity defined as A = Write the vector Av in terms of its components using unit vector notation. Sketch the vector A on an x-y grid. Define a relevant angle symbolically whose numerical value you will calculate in the next part. f) g) Calculate the magnitude and direction of the vector Av. h) Finally, write the vector Av in terms of its magnitude and direction. Sketch the vector v₂ on an x-y grid. Label any relevant angle. Calculate the x- and y-components of 7₂. Write the vector ₂ in terms of its components using unit vector notation.

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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.

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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!