A scooter starting from rest moves with a constant acceleration for a time Δ t 1 , then with a constant velocity for the next Δ t 2 and finally with a constant deceleration for the next Δ t 3 to

Question

A scooter starting from rest moves with a constant acceleration for a time Δ t 1 ​ , then with a constant velocity for the next Δ t 2 ​ and finally with a constant deceleration for the next Δ t 3 ​ to come to rest. A 500 N man sitting on the scooter behind the driver manages to stay at rest with respect to the scooter without touching any other part. The force exerted by the seat on the man is:

TestHub · Accepted Answer

The seat force is the resultant of the normal reaction (=
$m g = 500 N$ , vertical) and the friction (horizontal).
During acceleration and deceleration a horizontal friction $ma$ is needed, so the resultant exceeds 500 N; during uniform motion it equals 500 N.
Option D.

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