Respuesta :
What you do is use equations of motions. Since the vehicle is decelerating so the acceleration is negative.
Using the first equation of motion
v=u+a*t
u=47 (initial velocity)
a=-3 (final velocity)
v=0 (Complete stop)
therefore,
→t=( v - u ) / a
t= (0 - (-47) ) / (-3)
t=15.67 second
Now,
Using second equation of motion,
→s=u*t +1/2*a*t²
s=47 * (15.67) + 1/2 * (-3) * (15.67²)
s=736.49 -368.32
Answer= 368.16 feet
Using the first equation of motion
v=u+a*t
u=47 (initial velocity)
a=-3 (final velocity)
v=0 (Complete stop)
therefore,
→t=( v - u ) / a
t= (0 - (-47) ) / (-3)
t=15.67 second
Now,
Using second equation of motion,
→s=u*t +1/2*a*t²
s=47 * (15.67) + 1/2 * (-3) * (15.67²)
s=736.49 -368.32
Answer= 368.16 feet
It takes the car 368.2 feet before coming to a complete stop.
Using newton's law:
v² = u² + 2as
Where u is the initial velocity, v is the final velocity, a is the acceleration and s is the distance.
Given that:
u = 47 ft/sec, v = 0(stop), a = -3 ft/sec². Hence:
v² = u² + 2as
0² = 47² + 2(-3)s
6s = 2209
s = 368.2 feet
Hence it takes the car 368.2 feet before coming to a complete stop.
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