A car acquires a velocity of 72 km/h in 10 s starting from rest. Find ...
**Acceleration Calculation:**
To find the acceleration of the car, we can use the equation:
\[v = u + at\]
Where:
- \(v\) is the final velocity (72 km/h)
- \(u\) is the initial velocity (0 km/h, as the car starts from rest)
- \(a\) is the acceleration (unknown)
- \(t\) is the time taken (10 s)
Rearranging the equation, we get:
\[a = \frac{{v - u}}{{t}}\]
Substituting the given values, we have:
\[a = \frac{{72 - 0}}{{10}}\]
\[a = 7.2 \, \text{m/s}^2\]
Therefore, the acceleration of the car is \(7.2 \, \text{m/s}^2\).
**Distance Calculation:**
To find the distance traveled by the car, we can use the equation:
\[s = ut + \frac{1}{2}at^2\]
Where:
- \(s\) is the distance (unknown)
- \(u\) is the initial velocity (0 km/h)
- \(a\) is the acceleration (7.2 m/s²)
- \(t\) is the time taken (10 s)
Substituting the given values, we have:
\[s = 0 \times 10 + \frac{1}{2} \times 7.2 \times (10)^2\]
\[s = 0 + 0.5 \times 7.2 \times 100\]
\[s = 360 \, \text{m}\]
Therefore, the car has traveled a distance of 360 meters in 10 seconds.
**Summary:**
- The acceleration of the car is 7.2 m/s².
- The car has traveled a distance of 360 meters in 10 seconds.
A car acquires a velocity of 72 km/h in 10 s starting from rest. Find ...
Given,
initial velocity,u= 0 m/s
final velocity,v=72km/hr=20 m/s
time taken,t= 10 s
acceleration,a = (v-u)/t
a=20-0/10=2 m/s^2
acceleration=2 m/s^2
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