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1.3

  • The purpose of giving only the answers to the questions at the end of this and other sections is to make you realize the mistakes you made while solving.
  • For this reason, continue to work on the question until you find the answers.
  • If you still cannot find the answer, discuss the question with your friends.
  • This is an indirect form of learning that will add a lot to you.

Questions with answers

about kinematics of particle

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Question 1.3.1) A car that stops at point A starts moving with an acceleration of 1 m/s² and continues on its way until its speed reaches 70 km/h. After that, it moves at this constant speed for a while and starts braking when it is 60 m behind point B where it wants to stop. If the average speed of the car is 50 km/h; a-) Calculate the time required for the car to get from A to B, b-) Calculate the distance between A and B.

Answers: a-) 44.8sec, b-) 622.2m

1.3 Kinematics of Particle / Exam questions with answers

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Question1.3.2) A plane flying parallel to the ground at a speed of 500 km/h drops a bomb that hits a hut on the ground. If the angle between the plane-hut line and the vertical is β = 60°, find the altitude of the plane ( h). Neglect the dimensions of the hut. Answer: 1313m

Question1.3.3) The toy car, which is first released from point A of the 30° inclined plane, falls into the basket at point C. Given that there is a relation between the acceleration and the distance traveled in the A-B plane as a = k.S, what should be the value of k? The dimensions of the basket and the toy will be neglected. Answer: k=15.46

1.3 Kinematics of Particle / Exam questions with answers

v=500 km/h

β

h

1m

1m

1m

300

C

B

A

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Question1.3.4) When football player A kicks the ball with a speed of vA = 70 km/h and an angle of θA = 60°, the ball travels in such a way that it falls on the goal line. Accordingly; a-) Find the time until the ball falls on the line and the distance of football player A from the goal, b-) How many meters did football player B, who prevented a goal, run with a speed of vB = t² + 1 along the linear path towards the goal?

Answers: a-) 33.34m, b-) 16.88m

1.3 Kinematics of Particle / Exam questions with answers

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Question1.3.6) Drops of water are dripping from a fountain at equal intervals. At the moment any drop B starts to fall, drop A has fallen 25 cm. When the distance between drops A and B is 75 cm, calculate the distance of A from the fountain. Answer: 99.7cm

1.3 Kinematics of Particle / Exam questions with answers

A

B

150m

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Question1.3.7) A pulley and two loads are connected by inextensible ropes as shown in the figure. Load A has a constant acceleration of 3 m/s², an initial velocity of 4.5 m/s, and both are upwards. a-) Calculate the resultant acceleration of point C located on the circumference of the pulley at t = 0. b-) Find the speed of load B after 3 seconds. ( r1 =1.5m , r2 =1m )

Answer: a-) 13.83m/s, b-) 9m/s

 

1.3 Kinematics of Particle / Exam questions with answers

 

 

 

 

 

 

r1

r2

C

B

A

O

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1.3 Kinematics of Particle / Exam questions with answers

30°

a

v

 

 

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A

B

vA

vB

x

y

r

450

1.3 Kinematics of Particle / Exam questions with answers