Final answer:
The magnitude of the acceleration required to stop a car traveling at 24 m/s over a distance of 60 m is 4.8 m/s², which is option (c).
Step-by-step explanation:
To find the magnitude of the acceleration necessary to stop a car that is traveling at 24 m/s over a distance of 60 m, we can use the kinematic equation:
v2 = u2 + 2as
Where v is the final velocity (0 m/s, since the car stops), u is the initial velocity (24 m/s), a is the acceleration, and s is the stopping distance (60 m).
Plugging in the values, we get:
0 = (24 m/s)2 + 2a(60 m)
0 = 576 + 120a
-576 = 120a
a = -576 / 120
a = -4.8 m/s2
The negative sign indicates that the acceleration is in the opposite direction to the motion of the car (deceleration). Therefore, the magnitude of the acceleration is 4.8 m/s2, which corresponds to option (c).