3. (219) A truck is moving up a steep hill at 30 m/s when suddenly the engine dl

Question

3. (219) A truck is moving up a steep hill at 30 m/s when suddenly the engine dles. The driver hits the brakes, but they don't work either. The truck starts to accelerate at-3 m/s. a. How far does the truck move forward before lt starts sliding back down the hill? b. What is the veloclty of the truck when it is 10 m forward of its initial position? What two times do the answers to (b) correspond to? c. (247)A blcycle traveling at constant speed is 50 meters behind a bus that is just starting from rest with a constant acceleration of 2 m/s2. What is the speed of the bicycle If it catches up with the bus in 6 seconds? A park ranger, lying on the ground, wanted to measure the helght of a tall tree. The ranger was 6.10 m from the base of the tree; and he observed that his line of sight made an angle of 73.5 above the horizontal as he looked at the top of the tree. What is the height of the tree? 4. . 5.

Explanation / Answer

3) a) v^2 - u^2 = 2aS

0 - 30^2 = 2*-3*S

= 150 m

b) v^2 - 30^2 = 2*-3*10

v = 28.98 m/s

4) S = ut + 0.5at^2

50 = 6u + 0.5*2*6^2

u = 2.33 m/s

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