A car acelerares at 1.6 m/s^2 and pases trough an intersection 20 meters wide in

Question

A car acelerares at 1.6 m/s^2 and pases trough an intersection 20 meters wide in 2.4 seconds. After the car crosses the intersection how much time does it need to reach a velocity of 33 m/s A car acelerares at 1.6 m/s^2 and pases trough an intersection 20 meters wide in 2.4 seconds. After the car crosses the intersection how much time does it need to reach a velocity of 33 m/s
5. Una locomotora se está acelerando a 1,6 m/s2 Pasa a través de un cruce de 20 m de ancho en un tiempo de 2,4 s, después de que la locomotora sale del cruce, ¿cuánto tiempo se requiere hasta que su velocidad llegue a 32 m/s?

Explanation / Answer

Given

car is moving with acceleration of a = 1.6 m/s2

and the time taken to cross the intersection of 20 m is 2.4 s

that is the initial velocity of the car is u = 20/2.4 m/s

later the time taken to reach the velocity v = 33 m/s is , t = ?

from equations of motions  

v = u+at

v - u = at

t = v-u/a

t = (33-(20/2.4))/1.6 s

t = 15.42 s

the time would be taken for the car to attain 33 m/s is 15.42 s

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