Two velocity vectors are defined as follows:₁ = 40.0 m/s, 50.0° cw from the +x axisv₂ = 30.0 m/s, 75.0° cw from the -y axisa)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 itscomponents 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 whosenumerical 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 itscomponents using unit vector notation.

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Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0⁰° cw from the -y axis a) b) c) 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. Sketch the vector v2 on an x-y grid. Label any relevant angle.

Two velocity vectors are defined as follows: ₁ = 40.0 m/s, 50.0° cw from the +x axis v₂ = 30.0 m/s, 75.0⁰° cw from the -y axis a) b) c) 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. Sketch the vector v2 on an x-y grid. Label any relevant angle.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.1CYU: Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the...

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Give a specific example of a vector, stating its magnitude, units, and direction.
Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28
Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the information about their velocity vectors in each of the following situations, Indicate whether their velocity vectors are equal or otherwise. (a) Alice moves north at 6 knots and Bob moves west at 6 knots. (b) Alice moves west at 6 knots and Bob moves west a 3 knots. (C) Alice moves northeast at 6 knots and Bob moves south at 3 knots. (d) Alice moves northeast at 6 knots and Bob moves southwest a 6 knots. (e) Alice moves northeast at 2 knots and Bob moves closer to the shore northeast at 2 knots.
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Review. You are standing on the ground at the origin of a coordinate system. An airplane flies over you with constant velocity parallel to the x axis and at a fixed height of 7.60 103 m. At time t = 0, the airplane is directly above you so that the vector leading from you to it is P0=7.60103m. At t = 30.0 s, the position vector leading from you to the airplane is P30=(8.04103i+7.60103j)m as suggested in Figure P3.31. Determine the magnitude and orientation of the airplanes position vector at t = 45.0 s. Figure P3.31
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