7. [-/2 Points] DETAILS SERPSE9 3.P.035.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Vector A has a negative x component 2.58 units in length and a positive y component 2.12 units in length. (a) Determine an expression for A in unit-vector notation. j) units (b) Determine the magnitude and direction of A. magnitude unit(s) direction " counterclockwise from the positive x axis (c) what vector B when added to vector A, gives a resultant vector with no x component and a negative y component 3.42 units in length? i) units Need Help? Master It Additional Materials feBook 8. [-/2 Points] DETAILS SERPSE9 3.P.059. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two..vectors. A. and B have precisely equal magnitudes. In order for the magnitude of A + B to be 90 times larger than the magnitude of A - B, what must be the angle between them? 0.0222 Enter man materials eBook9. [-/2 Points] DETAILS SERPSE9 3.P.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by V = 1.6 i - 9.8r j. where vis in meters per second and t is in seconds. The ball's displacement away from the edge of the table, during the time interval of 0.480 s for which the ball is in flight, is given by AF = / 0.480 dt. To perform the integral, you can use the calculus theorem [A + BAx ) ] dx = / Adx + B/ Rx) dx. You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.480 s. Ar = m Additional Materials O DeBook 10. [-/2 Points] DETAILS SERPSE9 3.P.063.WI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER + The instantaneous position of an object is specified by its position vector leading from a fixed origin to the location of the object modeled as a particle. Suppose for a certain object the position vector is a function of time, given by r = 2 i + 4 j - 2t k, where i' is in meters and t is in seconds. (a) Evaluate di/dr. li+j + k) m/'s (b) what physical quantity does of/dr represent about the object? O the velocity vector O the displacement vector O the acceleration vector