Question

(c) A mile is 1760 yards or 1609 metres or 5280 feet, and a fortnight is 14 days. In 2022, the Zambian track and field sprinter, Muzala Samukonga, won a gold medal at the 2022 Birmingham Commonwealth Games, when he represented Zambia in the 400 metres. His average speed was 8.96 metres per second. Give his speed: (i) kilometre per second; (ii) yard per hour; and (iii) feet per fortnight. [2, 2, 2] (d) A ship is steaming due east at a speed of \( 12 \mathrm{~m} / \mathrm{s} \). A passenger runs across the deck at a speed of \( 5 \mathrm{~m} / \mathrm{s} \) toward north. What is the resultant velocity of the passenger relative to the sea? [3] (e) Vectors \( \vec{A} \) and \( \vec{B} \) have scalar product -6.0 and their vector (cross) product has magnitude +9.0 . What is the angle between these two vectors? [7]

          (c) A mile is 1760 yards or 1609 metres or 5280 feet, and a fortnight is 14 days. In 2022, the Zambian track and field sprinter, Muzala Samukonga, won a gold medal at the 2022 Birmingham Commonwealth Games, when he represented Zambia in the 400 metres. His average speed was 8.96 metres per second. Give his speed: (i) kilometre per second; (ii) yard per hour; and (iii) feet per fortnight.
[2, 2, 2]
(d) A ship is steaming due east at a speed of \( 12 \mathrm{~m} / \mathrm{s} \). A passenger runs across the deck at a speed of \( 5 \mathrm{~m} / \mathrm{s} \) toward north. What is the resultant velocity of the passenger relative to the sea?

[3]
(e) Vectors \( \vec{A} \) and \( \vec{B} \) have scalar product -6.0 and their vector (cross) product has magnitude +9.0 . What is the angle between these two vectors?

[7]

(c) A mile is 1760 yards or 1609 metres or 5280 feet, and a fortnight is 14 days. In 2022, the Zambian track and field sprinter, Muzala Samukonga, won a gold medal at the 2022 Birmingham Commonwealth Games, when he represented Zambia in the 400 metres. His average speed was 8.96 metres per second. Give his speed: (i) kilometre per second; (ii) yard per hour; and (iii) feet per fortnight.
[2, 2, 2]
(d) A ship is steaming due east at a speed of 12 m / s. A passenger runs across the deck at a speed of 5 m / s toward north. What is the resultant velocity of the passenger relative to the sea?

[3]
(e) Vectors A⃗ and B⃗ have scalar product -6.0 and their vector (cross) product has magnitude +9.0 . What is the angle between these two vectors?

[7]

Added by John D.

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