Step 1: Write the given
Initial velocity of 0 km per hr
Final velocity of 72 km per hr
Time of 11.5 seconds
Step 2: Determine the formula/s that may be utilized
v(t)=v_{0} + atv(t)=v
0
+at
x(t)=x_{0} + v_{0}t+\frac{1}{2}at^{2}x(t)=x
+v
t+
2
1
at
v(t)^{2}=v_{0}^{2} + 2a(x(t)-x_{0})v(t)
=v
+2a(x(t)−x
)
Step 3: Find the acceleration of the car
Convert the velocity to m per sec
Initial velocity is 0 meter per sec
Final velocity: 72\frac{km}{hr} *\frac{1 hr}{3600 s}*\frac{1000 m}{1 km}72
hr
km
∗
3600s
1hr
1km
1000m
which is equal to 20 meter per sec
Use equation 1
20 m/s=0m/s+(11.5 sec)(acceleration)
The acceleration of the car is equal to 1.74 meter per sec².
Therefore, the acceleration of the car is 1.74 meter per square sec.
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Answers & Comments
Step 1: Write the given
Initial velocity of 0 km per hr
Final velocity of 72 km per hr
Time of 11.5 seconds
Step 2: Determine the formula/s that may be utilized
v(t)=v_{0} + atv(t)=v
0
+at
x(t)=x_{0} + v_{0}t+\frac{1}{2}at^{2}x(t)=x
0
+v
0
t+
2
1
at
2
v(t)^{2}=v_{0}^{2} + 2a(x(t)-x_{0})v(t)
2
=v
0
2
+2a(x(t)−x
0
)
Step 3: Find the acceleration of the car
Convert the velocity to m per sec
Initial velocity is 0 meter per sec
Final velocity: 72\frac{km}{hr} *\frac{1 hr}{3600 s}*\frac{1000 m}{1 km}72
hr
km
∗
3600s
1hr
∗
1km
1000m
which is equal to 20 meter per sec
Use equation 1
20 m/s=0m/s+(11.5 sec)(acceleration)
The acceleration of the car is equal to 1.74 meter per sec².
Therefore, the acceleration of the car is 1.74 meter per square sec.