As she picks up her riders, a bus driver traverses four successive displacements represented by the expression
(-6 b)î - (3.70 b cos 40°)î - (3.70 b sin 40°)ĵ + (2.50 b cos 50°)î - (2.50 b sin 50°)ĵ - (4.90 b)ĵ
here b represents one city block, a convenient unit of distance of uniform size; î is east; and ĵ is north. the displacements at 40° and 50° represent travel on roadways in the city that are at these angles to the main east—west and north—south streets.†
(a) draw a map of the successive displacements.
(c) compute the magnitude and direction of her total displacement (counterclockwise from east).

Answerboth technicians (a) and (b);

Since you have not included the experiment situation and the data, of course, i can not give you specific details about it. but i can you with this question.1) i will assume that the motion is projectile (parabolic) motion.2) yes, the horizontal distance depends on the horizontal velocity as, naming vx the horizontal velocity and t the time, it is: x = vx × t3) now, observe that the flight time depends on the vertical velocity as, naming voy the initial vertical velocity, t the time and y the vertical distance before reaching the ground: y = yo + voy×t - gt² / 2.the higher the initial vertical velocity (voy) the longer the object will be flying and so t will be higher in the equation for the horizontal distance.that explains the relationship between the horizontal distance and the horizontal velocity.