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Why is the following situation impossible? A shopper pushing a cart through a market follows directions to the canned goods and moves through a displacement
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- A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.arrow_forwardJonah is walking along a trail. The trail heads east for 1350 meters, before turning north and continuing for 990 meters. At the end of the trail, what is Jonah's displacement vector? Options: 1670 m, 36.3∘36.3∘ north of east 1670 m, 36.3∘ east of north 2340 m, 31.0∘ east of north 2340 m, 31.0∘ north of eastarrow_forwardA rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been drawn. The coordinates (meters) of the rabbit's position as functions of time t (seconds) are given by: x = -0.31t2 +7.2t+28 and y = 0,22t² - 9.1t+ 30. A) Att = 15 s, what is the rabbit's position vector in unit-vector notation and n magnitude-angle notation? B) Find the velocity vector at time t = 15 s. c) find the acceleration a at time t = 15s.arrow_forward
- What's the resultant displacement vector C=A+B as a magnitude and direction? Given 2 vectors: A=4.00i+7.00j B=5.00i-3.00jarrow_forwardwhat is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C= 15i - 10jarrow_forwardThe pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight east, then 10.0 km straight north. How far and in what direction is the plane from the starting point? (Complete solution)arrow_forward
- Vector A has a magnitude 5.00 and points in a direction 60.0° clockwise from the negative y axis. What are the x and y components of vector A. Ax = 2.50 and Ay = -4.33 Ax = -4.33 and Ay = -2.50 Ax = -4.33 and Ay = 2.50 Ax = 1.78 and Ay = -2.14 Ax = 2.50 and Ay = 4.33arrow_forwardA hiker starts at his camp and moves the following distances while exploring his surroundings: 66.0 m north, 2.00 ✕ 102 m east, 1.15 ✕ 102 m at an angle 30.0° north of east, and 1.50 ✕ 102 m south. Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (a) magnitude = _____m (b) direction = _____° south of eastarrow_forwardThe coordinates of a particle moving in the XY plane are given as function of time by: X = 5m + ( 7 m/s^4) t ^4 Y = ( 10 m/s)t + (3 m/s^5)t ^5 Find the position vector of the body at t = 3.5 seconds and instantaneous acceleration of the body at t = 3.5 secarrow_forward
- 15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s 8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors A and B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest units smallest unitsarrow_forwardGiven the two vectors A = ( 5.5i - 3j) and B = (-9i - 8j) determine the following: A. Vector C = A + B in vector notation, it's magnitude and its direction counterclockwise from the +x-axis. B. Vector D = A - B in Vector notation, it's magnitude and its direction counterclockwise from the +x-axis.arrow_forward(the complete question is in the picture) Vector A has a magnitude of 3 units directed 30◦south of east whileVector B has a magnitude of 5 units directed 60◦ north of west. Consider your coordinateaxis with +ˆi directed east and +ˆj directed north. What is the resultant vector in componentform?A.3√3 + 52ˆi +3 + 5√32ˆj B.3√3 − 52ˆi +5√3 − 32ˆj C.3 − 5√32ˆi +5 − 3√32ˆj D.3 − 5√32ˆi +5 − 3√32ˆarrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University