At the instant t = 3 sec, the radial coordinate r of the robot arm is 3 ft and is extending at a rate of 1.5 ft/sec. The elevation z and azimuthal coordinate theta are given by z = (4t^2 )ft, and theta = 0.5t rad, respectively. The time t is in seconds. Determine the magnitudes of the velocity and acceleration of the grip A at this instant.

A wall clock has a second hand 22.0 cm long. What is the radial acceleration of the tip of this hand? (Express your answer in centimeters per second squared.)

It takes a golfer a total of three strokes to put the ball in the hole. The displacements of the three strokes are as follows: d, = 4.20 m the north, d, = 2.10 m northeast, and d, = 1.10 m at 6 = 30.0° west of south, as shown in the figure. If the golfer had made the hole in a single shot, what would be the displacement of the ball? (Assume the positive y- and x-axes are in the north and east directions, respectively. Give the magnitude of your answer in meters and the direction in degrees north of east.) N dz dz W- E 'p magnitude m direction o north of east

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?  yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

Someone drives 215 km west before turning to go 98 km southwest at 45°. How far are they from where they started? Express your answer using three significant figures. 293 km Submit Previous Answers ✓ Correct Part B In what direction are they from where the started, measured counterclockwise from due east?

A jet is flying at a speed of 760 mi/hr relative to the air, and in the direction N 30°W. A wind is blowing 48 mi/hr in the direction N 45°E. (If needed, round to two decimal places.) a) Express the velocity of the wind as a vector in component form. b) Express the velocity of the jet relative to the air as a vector in component form. c) Find the true velocity of the jet as a vector in component form. d) Find the true speed of the jet. 35%

a submarine travels at a constant velocity of 180.0 m/s for 92.0 minutes at 90.0 degrees. then the sub accelerates to a constant velocity of 200.0 m/s for 2.25 hours at 155 degrees. what is the sub's resultant displacement vector?

= 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dz

9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)

A turtle ambles leisurely from a location with position vector r1,x = 1.87 m and ri.y = -2.95 m in a lettuce garden to another location with position vector r2.x = 3.91 m and r2.y = -4.27 m, where the lettuce appears to be tastier. The excursion takes 5.17 min to complete. What are the components and the magnitude of the turtle's average velocity in meters per second? Vav,x m/s Vav,y m/s %3D m/s %3D