An airplane flies 200 km due west from city A to city B and then 345 km in the d

Question

An airplane flies 200 km due west from city A to city B and then 345 km in the direction of 24.0 degree north of west from city B to city C. In straight-line distance, how far is city C from city A? km Relative to city A, In what direction is city C? degree north of west Why is the answer only approximately correct? A person walks 29.0 degree north of east for 2.60 km. How far due north and how far due east would she have to walk to arrive at the same location? north km east km A girl delivering newspapers covers her route by traveling 4.75 blocks west, 4.75 blocks north, and then 7.50 blocks east. What is her resultant displacement? magnitude blocks direction degree north of east What is the total distance she travels? Blocks One of the fastest recorded pitches in major-league baseball, thrown by Tim in 2009, was docked at 101.0 mi/h. If a pitch were thrown horizontally with this velocity, how far would the ball fall vertically by the time It reached home plate, 60.5 ft away? ft

Explanation / Answer

6.

consider the motion along the horizontal direction

Vox = velocity along the horizontal direction = 101 mi/h = 45.2 m/s

X = horizontal distance travelled = 60.5 ft = 18.4 m

t = time taken

using the formula

X = Vox t

18.4 = 45.2 t

t = 0.41 sec

Consider the motion along the vertical direction

Voy = initial velocity = 0 m/s

t = time = 0.41 sec

a = acceleration = 9.8
Y = vertical displacement

using the equation

Y = Voy t + (0.5) a t2

Y = 0 (0.41) + (0.5) (9.8) (0.41)2

Y = 0.82 m = 2.7 ft

so ball fall 2.7 ft vertically

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