Respuesta :
We need to apply the following expression
Vf = Vo + a.t
Where a is the acceleration
t is the time it takes to achieve Speed Vf
And Vo the initial speed
In this problem Vo = 60 miles/hour
Vf = 0 (comes to a stop)
t = 4 seconds
a = -60 [miles/hours] / 4 [s] = -15 miles/hour/second (negative as it goes in the opposite direction)
Vf = Vo + a.t
Where a is the acceleration
t is the time it takes to achieve Speed Vf
And Vo the initial speed
In this problem Vo = 60 miles/hour
Vf = 0 (comes to a stop)
t = 4 seconds
a = -60 [miles/hours] / 4 [s] = -15 miles/hour/second (negative as it goes in the opposite direction)
Answer:
The car is decelerating with the magnitude of 0.00416 mi/h².
Or
The car is decelerating with the magnitude of 15 mi/h/s.
Explanation:
Given that,
Time = 4.0 sec
Speed = 60.0 mph
We need to calculate the acceleration
Using equation of motion
[tex]v = u+at[/tex]
Where, v = final speed
u = initial speed
a = acceleration
t = time
Put the value into the formula
[tex]a= \dfrac{v-u}{t}[/tex]
[tex]a=\dfrac{0-60.0}{4.0\times3600}[/tex]
[tex]a =-0.00416\ mi/h^2[/tex]
We need to calculate the acceleration in mi/h/s
[tex]a = \dfrac{60.0\ mph}{4.0\ s}[/tex]
[tex]a= -15\ mi/h/s[/tex]
Negative sign
Hence, The car is decelerating with the magnitude of 0.00416 mi/h².
Or
The car is decelerating with the magnitude of 15 mi/h/s.