Answer:
Explanation:
The equation for acceleration is
[tex]a=\frac{v_f-v_0}{t}[/tex] where vf is final velocity, v0 is initial velocity and t is time in seconds. But we have a problem here because the initial velocity is given in km/hr while the distance is given in meters. We are going to change 50.0 km/hr to m/sec:
[tex]50\frac{km}{y\hr}*\frac{1000m}{1km}*\frac{1hr}{3600s}[/tex] which gives us an initial velocity of
v = 13.9 m/s
But that still doesn't give us anything for the time, which is the denominator of the acceleration equation. We have to find it. Since this is one-dimensional travel, use d = rt to find the time it took for the car to travel 35 meters at a rate of 13.9 m/s:
35 = 13.9t and
t = 2.5 seconds. Now we can use that in the acceleration equation:
[tex]a=\frac{0-13.9}{2.5}[/tex] so
a = -5.6 m/s/s The negative sign tells us that the car is slowing down, as we would expect it to be when it is traveling at a certain rate and eventually stops.
