Additional Tutorial 3

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UNIVERSITI TUNKU ABDUL RAHMAN

Centre | : | Centre for Foundation Studies (Kampar) | | Course Code | : | FHSP1014 | Programme | : | Foundation in Science | | Course Title | : | Physics I | Year/ Trimester Session | :: | Year 1 / Trimester 12016/05 | | Lecturer | : | |

Additional Questions 3: Kinematics

1. A balloon is 30.0 m above the ground and is rising vertically with a uniform speed when a coin is dropped from it. If the coin reaches the ground in 4.00 s, what is the speed of the balloon? Solution:- Initial velocity of coin = speed of balloon, v. by using the equation [Answer: 12.1 ms–1]

2. A car and train moves together along two parallel paths at 25.0 m s–1. The car then undergoes a uniform acceleration of -2.5 m s–2 because of a red light and comes to rest. It remains at rest for 45.0 s, then accelerates back to a speed of 25 m s–1 at a rate of +2.5 m s–2. How far behind the train is the car when it reaches the speed of 25 m s–1, assuming that the train’s speed has remained constant at 25 m s–1. Solution:- For the car to stop we used the equation v2=v02 + 2as and v = v0 + at m and s For the car to speed up again, m and time taken, s Total distance moved by car in that time = 125 m + 125 m = 250 m. Total distance travelled by the train = 25 × (10+45+10) = 1625 m Therefore the car is (1625 – 250) = 1375 m behind the train. [Answer: 1375 m]

*3. A fugitive tries to hop on a freight train traveling at a constant speed of 6.0 m/s. Just as an empty box car passes him, the fugitive starts from rest and accelerates at a = 4.0 m/s2 to his maximum speed of 8.0 m/s. (a) How long does it take for him to catch up to the empty box car? (b) What is the distance traveled to reach the box car? Solution (a)…...

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