Question

¿Qué velocidad alcanza un movil que inicialmente iba a 3 m/s y acelera a 1.5 m/s² duerante 95m? ¿Qué tiempo toma esto?

Answer 1

`v_f = 17.15 m/s`

`t = 9.43 s`

Step-by-step explanation:

Initial speed of the car is given as

`v_i = 3 m/s`

acceleration of the car

`a = 1.5 m/s^2`

distance moved by the car

`d = 95 m`

now we can use kinematics to find the final speed of the car

`v_f^2 - v_i^2 = 2 a d`

`v_f^2 - 3^2 = 2(1.5)(95)`

`v_f^2 = 294`

`v_f = 17.15 m/s`

Now the time taken to reach this speed is given as

`v_f = v_i + at`

`17.15 = 3 + 1.5 t`

`t = 9.43 s`