4. [0/16 Points] DETAILS PREVIOUS ANSWERS The x component of a displacement vector r is -131 m, while its y component is -186 m. (a) Find the magnitude of r. X Review how to find the magnitude of a vector given its components (recall right triangles). (b) Find the direction of r. X Draw a diagram of the vector. Note the components are negative. In which quadrant does it lie?" counterclockwise from the +x-axis 5. [0/16 Points] DETAILS PREVIOUS ANSWERS A vector A has components A, = -4.78 m and A, = 8.52 m. Find the magnitude and the direction of the vector, magnitude direction X Your response differs from the correct answer by more than 10%. Double check your calculations." counterclockwise from the +x-axis Submit Answer7. [-/18 Points] DETAILS The magnitudes of two acceleration vectors A and B are 16 - "y and 6-, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A + B? largest smallest5. [0/17 Points] DETAILS PREVIOUS ANSWERS MY Vector a has a magnitude of 3.00 m and is directed east (along X-axis). Vector b has a magnitude of 2.00 m and is directed 35.0 north of east (counter-clockwise from the X-axis). (a) What is the magnitude of a + b? X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) What is the direction of a + b? 17.31 X Your response differs from the correct answer by more than 10%, Double check your calculations." (from the positive X-axis) 6. [-/17 Points] DETAILS MY N Find the magnitudes of velocities v and v in Figure 3.25, where, 0 = 22.5" and V, = 5.36 m/s. (Hint: This is one of the few vector problems than can be conveniently solved using oblique triangle trigonometry.) m/s m/s What = VA+ VB /23.09 VA Figure 3.25.1. [21.4/30 Points] DETAILS PREVIOUS ANSWERS 4.5 Velocity vs. Time 3.5 w velocity (m/s) .5 N 1.5 0.5 0.5 1.5 2 2.5 3 3.5 4.5 5 time (s) The graph above shows the velocity of an object vs time. (A) What is the (instantaneous) velocity of the object at t= 0.5 s? V(0.5 s) = 3 v m/s [+ 0.2 m/s] (The value in square brackets is how precise your answer needs to be to receive credit.) (B) What is the velocity of the object at t= 3 s? v( 3 s) = 4 m/s. [+ 0.2 m/s ] (C) What is the velocity of the object at t= 4.5 s? v( 4.5 s)= 2.5 m/s. [+ 0.2 m/s ] (D) What is the average acceleration between t= 0 s and t= 5 s? aavg= -0.6 m/s2 [ + 0.2 m/s2 ] (E) What is the average acceleration between t= 2 s and t= 5 s? aavg= [-1 m/s? [+ 0.2 m/s2 ] (F) What is the displacement between t= 2 s and t= 5 s? Ax= x m [+ 0.42 m ] (G) What is the displacement between t= 0 s and t= 2 s? AX= x m [+ 0.4 m ]