contestada

A man driving a car traveling at 20 m/sec slams on the brakes and decelerates at 3.25
m/s^2. How far does the car travel before it stops?

Respuesta :

Recall that

[tex]{v_f}^2-{v_i}^2=2a\Delta x[/tex]

where [tex]v_i[/tex] and [tex]v_f[/tex] are initial and final velocities, respectively; [tex]a[/tex] is acceleration; and [tex]\Delta x[/tex] is the net displacement, or distance if the object is moving in a single direction.

The car has initial speed 20 m/s and acceleration -3.25 m/s². It comes to a stop, so it has 0 final speed. Then

0² - (20 m/s)² = 2 (-3.25 m/s²) ∆x

x = (20 m/s)² / (7.5 m/s²) ≈ 53.3 m