1. The pilot of an airplane traveling at 160 kilometers per hour wishes to drop food supplies to flood victims isolated on a patch of land 160 m below. The supplies should be dropped how many seconds before the plane is overhead? [Neglect air resistance.]
2. A projectile is fired with an initial speed of 75.2 m/s at and angle of 34.5 degrees above the horizontal on a long, flat firing range. Determine (A) the maximum height reached by the projectile, (B) the total time in the air, (C) the total horizontal distance covered (that is, the range) and (D) the velocity of the projectile 1.50 s after firing. [Neglect air resistance.]
3. A projectile is launched from ground level to the top of a cliff which is 195 m away and 155 m high. If the projectile lands on top of the cliff 7.60 s after it is fired, find the initial velocity of the projectile (magnitude and direction). [Neglect air resistance.]
4. An airplane is heading due south at a speed of 500 km/h. If a wind begins blowing from the southwest at a speed of 100 km/h (average), calculate (A) the velocity (magnitude and direction) of the plane relative to the ground, and (B) how far off-course it will be after 10 min if the pilot takes no corrective action.
5. A plumber steps out of his truck, walks 50 m east, and 25 m south, and then takes an elevator 10 m into the subbasement of a building where a bad leak is suspected. What is the displacement of the plumber relative to his truck? Give your answer in components and also in magnitude and angle notation. Assume x is east, y is north, and z is up.
Answers
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3. 63.1 m/s at 66.0 degrees from the horizontal
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