Question

g Initially, the motorcycle travels along a straight road with a speed of 35 m/s (this is almost 80 mph). The maximum deceleration of the motorcycle is -1.2 m/s2. If the biker is skilled and uses maximum deceleration, how long will it take them to come to a complete stop

Answer 1

Given:

Initial speed of the motorcycle (u) = 35 m/s

Final speed of the motorcycle (v) = 0 m/s (Complete Stop)

Maximum deceleration of the motorcycle (a) = -1.2 m/s²

Required Equation:

`\boxed{\bf{ v = u + at}}`

Answer:

By substituting values in the equation, we get:

`\rm \longrightarrow 0 = 35 + ( - 1.2)t \\ \\ \rm \longrightarrow 0 = 35 - 1.2t \\ \\ \rm \longrightarrow 35 - 1.2t = 0 \\ \\ \rm \longrightarrow 35- 35 - 1.2t = 0 - 35 \\ \\ \rm \longrightarrow - 1.2t = - 35 \\ \\ \rm \longrightarrow ( - 1.2t)/( - 1.2) = ( - 35)/( - 1.2) \\ \\ \rm \longrightarrow t = 29.167 \: s`

`\therefore` Time taken by motorcycle to come to a complete stop (t) = 29.167 s