Respuesta :
Hi!
Answer: 3.45 seconds
First you note down the known values:
s= 60m
v=0
t= ?
a= -10m/s^2
The equation of motion linking these values in a manner as to obtain the unknown value of t is:
s = vt - 1/2at^2
rearranging the equation for time,
t^2 = ( vt - s ) x 2 / a
t^2 = (0t - 60) x 2 / -10m/s^2
t^2 = 12
t = 3.45 s
Answer:
3.46 seconds
Explanation:
We are given that a car stops in 60 m and has an acceleration of -10m/s[tex]^2[/tex] and we are to find the time it took to stop.
To find this time, we will use this equation of motion:
[tex] s = vt - \frac {1} {2} a t^2 [/tex]
Rearranging the formula by making t the subject and then substituting the given values in the above formula to find t:
[tex]t^2=(vt-s)*\frac{2}{a}[/tex]
[tex]t^2 = (0)t - 60 * \frac{2}{-10}[/tex]
[tex]\sqrt{t}^2=\sqrt{12}[/tex]
[tex]t=3.46[/tex]
Therefore, it took 3.46 seconds for the car to stop.