Mr. M is walking to Mr. T’s house. He take the shortcut across an open field. His first displacement is 140 m[E35N]. He then walks 200.0m[E]. What is Mr. M’s total displacement?

If ů = (7,–6, 0) and i = (1, 1,0), find the length and direction of ủ x i and i x ū. Length of u x i is ... ... Direction of u xở is (If u X v does not have a direction, enter "none".) Length of i x ủ is Direction of ú xũ is (If i xủ does not have a direction, enter "none".)

1. 3.A helicopter blade spins at exactly 100 revolutions per minute. Its tip is 5.00 m from the center of rotation. (a) Calculate the average speed of the blade tip in the helicopter's frame of reference. (b) What is its average velocity over one revolution? 2. Acceleration is the change in velocity over time. Given this information, is acceleration a vector or a scalar quantity? Explain. 3. A commuter backs her car out of her garage with an acceleration of (a) How long does it take her to reach a speed of 2.00 m/s? (b) If she then brakes to a stop in 0.800 s, what is her deceleration

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Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-28 + 5ý) m. The magnitude and direction of D = A+ B + Č is m and _of %3D %3D O 2.8, 45, S of W O 6.3, 18, S of W O 2.8, 45, N of E O 6.3, 18, N of E

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A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.3 mm above the river, whereas the opposite side is a mere 1.6 mm above the river. The river itself is a raging torrent 57.0 mm wide. For help with math skills, you may want to review: Vector Magnitudes For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Different initial and final heights. a.  How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side? Express your answer in meters per second. b.  What is the speed of the car just before it lands safely on the other side? Express your answer in meters per second.

3.1

IT.0.0a Given an acceleration vector, initial velocity (uo.Vo), and initial position {xo.yo}, find the velocity and position vectors for t2 0. a(t) = (cos t,5 sin t. (Uo Vo) = (0,5) , (Xo.Yo) = (2.0) What is the velc | vector? v(t) =

A sedan travels down and up the valley shown above. Identify the correct pair of velocity and acceleration vectors corresponding to the vehicle at the moment it is at the bottom of the valley. O A +a V O B. + V xid-1916614_1.jpg OC. + V Dxid-1916613_1.jpg OD.