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

Answer:

$v_f = 17.15 m/s$

$t = 9.43 s$

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

$v_f = v_i + at$

$17.15 = 3 + 1.5 t$

$t = 9.43 s$