1) To measure the height of a tree, you throw a rock directlyupward, with a spee
ID: 1760601 • Letter: 1
Question
1) To measure the height of a tree, you throw a rock directlyupward, with a speed just fast enough that the rock brushes againstthe uppermost leaves and then falls back to the ground. If the rockis in the air for 2.7 s, how tall is the tree?2) An airplane must reach a speed of 191 mi/h to take off. If therunway is 453 m long, what is the minimum value of the accelerationthat will allow the airplane to take off successfully?
3) A driver in a car traveling at a speed of 40 mi/h sees a deer100 m away on the road. Calculate the minimum constant accelerationthat is necessary for the car to stop without hitting the deer(assuming that the deer does not move in the meantime).
WILL RATE HIGH!!!!
Explanation / Answer
Time (t) of flight is t = (2.7s)/2 = 1.35s Now height of the tree is H = (1/2)gt2 = (1/2)(9.8m/s2)(1.35s)2 = 8.93m
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