   Chapter 3, Problem 28P

Chapter
Section
Textbook Problem

An airplane maintains a speed of 630 km/h relative to the air it is flying through, as it makes a trip to a city 750 km away to the north. (a) What time interval is required for the trip if the plane flies through a headwind blowing at 35.0 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 35.0 km/h to the east relative to the ground?

(a)

To determine
The distance travelled by the horizontally between its release and its impact on the ground.

Explanation

The initial velocities when the bomb starts to fall are,

v0y=0v0x=vplane=275m/s

Here,

v0x is the horizontal component of the initial velocity

v0y is the vertical component of the initial velocity

Let the y coordinate of the bomb at the ground level be

y=h=3.00×103m

The time required for the bomb to fall is found from the equation,

y=y0+v0yt+12ayt2

Here,

y is the vertical displacement

y0 is the initial position in the vertical direction

v0y is the vertical component of the initial velocity

ay is the vertical acceleration

t is the time taken

Substitute 0m for y , g for ay and 0m/s for v0y

(b)

To determine
The position of the plane relative to the bomb’s point of impact when the bomb hits the ground.

(c)

To determine
The angle from the vertical the bombsight is set.

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