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Question 22M.2.SL.TZ2.1c.i

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Date May 2022 Marks available [Maximum mark: 2] Reference code 22M.2.SL.TZ2.1c.i
Level SL Paper 2 Time zone TZ2
Command term Estimate Question number c.i Adapted from N/A
c.i.
[Maximum mark: 2]
22M.2.SL.TZ2.1c.i

Airboats are used for transport across a river. To move the boat forward, air is propelled from the back of the boat by a fan blade.

An airboat has a fan blade of radius 1.8 m. This fan can propel air with a maximum speed relative to the boat of 20 m s−1. The density of air is 1.2 kg m−3.

In a test the airboat is tied to the river bank with a rope normal to the bank. The fan propels the air at its maximum speed. There is no wind.

The rope is untied and the airboat moves away from the bank. The variation with time t of the speed v of the airboat is shown for the motion.

(c.i)

Estimate the distance the airboat travels to reach its maximum speed.

[2]

Markscheme

recognition that area under the graph is distance covered ✓

«Distance =» 480 - 560 «m» ✓

 

Accept graphical evidence or calculation of correct geometric areas for MP1.

MP2 is numerical value within range.