Gough Lynch
01/25/2024 · Primary School

(E) A motorcyclist \( M \) leaves a road junction at time \( t=0 \). She accelerates from rest at a rate of \( 3 \mathrm{~ms}^{-2} \) for 8 s and then maintains the velocity she has reached. A car \( C \) leaves the same mad junction as \( M \) at time \( t=0 \). The car accelerates from rest to \( 30 \mathrm{~ms}^{-1} \) in 20 sand them maintains the velocity of \( 30 \mathrm{~ms}^{-1} \). C passes \( M \) as they both pass a pedestrian. a On the same diagram, sketch speed-time graphs to illustrate. the motion of \( M \) and \( C \).

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The motorcyclist \( M \) accelerates at \( 3 \, \text{ms}^{-2} \) for 8 seconds, reaching a speed of \( 24 \, \text{ms}^{-1} \), and then travels at a constant speed. The car \( C \) accelerates to \( 30 \, \text{ms}^{-1} \) in 20 seconds and then travels at a constant speed. The graphs will show linear increases in speed for both until they reach their constant speeds, with \( C \) passing \( M \) at a certain time after \( t=0 \).

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