Q4. An electric vehicle starts from rest and accelerates at arate of 3 m/s 2 in

Question

Q4. An electric vehicle starts from rest and accelerates at arate of 3 m/s2 in a straight line until it reaches aspeed of 25 m/s. The vehicle then slows at a constant rate of1 m/s2 until it stops.
(a). How much time elapses from start to stop?
(b). How far does the vehicle travel from start tostop? Q4. An electric vehicle starts from rest and accelerates at arate of 3 m/s2 in a straight line until it reaches aspeed of 25 m/s. The vehicle then slows at a constant rate of1 m/s2 until it stops.
(a). How much time elapses from start to stop?
(b). How far does the vehicle travel from start tostop?

Explanation / Answer

a) t = t1 + t2 t1 = v/a1 = 25/3 = 8.3s t2 = v/a2 =25/1= 25s t = t1 + t2 t = v(1/a1 + 1/a2) t=25( 1/3 + 1/1) t= 33.3 s - b) S = S1 + S2 S= 0.5at2 then S= 0.5a1t12 +  0.5a2t22 S= 0.5x3.0 (8.3)2 +  0.5x1(25)2 S= 104 + 313 S= 417m Please let me know if you have any questions. Please let me know if you have any questions.

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