A ball is released from rest near the surface of the Moon. Which one of the following quantities increases at a constant rate?
A. Only distance fallen
B. Only speed
C. Only speed and distance fallen
D. Only speed and acceleration
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(1)
The stone leaves Christina’s hand (point O) at a speed of 15 m s−1 in the direction shown. Her hand is at a height of 25 m above sea level. The mass of the stone is 160 g. The acceleration due to gravity g = 10 m s−2.
(b) (i) Calculate the kinetic energy of the stone immediately after it leaves Christina’s hand.
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(1)
(ii) State the value of the kinetic energy at point Q.
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(1)
(iii) Calculate the loss in potential energy of the stone in falling from point Q to hitting the sea.
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(1)
(iv) Determine the speed with which the stone hits the sea.
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(2)
(Total 7 marks)
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Beckett and Castle are trying to catch a suspected murderer. But the suspect sees Beckett out of the corner of his eye standing 8.90m to his immediate right and starts running at 6.50m/s toward the entrance of a busy shopping centre that is 35.00m. Beckett starts running at after him at the same time the suspect starts running. Castle is ahead of Beckett and 5.00m closer to the shopping centre but is distracted by a street performer who is breathing fire. Castle starts running when he sees the suspect 11.20m to his immediate left. Who has to run faster to catch the suspect just before the suspect enters the shopping centre: Beckett or Castle? How fast does Beckett have to run? How fast does Castle have to run? HINT: The suspect runs straight ahead toward the shopping centre. Use 2 decimal places throughout calculations and in your answer. |
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