An electric vehicle starts from rest and accelerates at a rate of 2.3 m/s2 in a straight line until it reaches a speed of 18 m/s. The vehicle then slows at a constant rate of 1.0 m/s2 until it stops. (a) How much time elapses from start to stop

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Physics

13 March, 10:42

An electric vehicle starts from rest and accelerates at a rate of 2.3 m/s2 in a straight line until it reaches a speed of 18 m/s. The vehicle then slows at a constant rate of 1.0 m/s2 until it stops. (a) How much time elapses from start to stop

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Reed Garza · Answer 1

25.83s

Explanation:

Time taken by car to reach from 0 m/s to 18m/s

Using the kinematic equation,

V = u + at

18=0 + 2.3 (t)

t = 18/2.3 = 7.83s

Time to stop the top speed

V = u + at

18=0 + 1 (t)

t = 18 / 1 = 18 s

total time is

=7.83s + 18s

= 25.83s