A car accelarates uniformly from 5m/s to 15 m/s taking 7.5 m/s. How far did it travel during thus period
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Step-by-step explanation:
Initial Velocity (u) = 5 m/s
Final Velocity (v) = 15 m/s
Time (t) = 7.5 seconds
To Find :
Distance (s) = ?
Solution :
First of all we will find the acceleration of
car:
→ Acceleration Final Velocity - Initial
Velocity Time
→ Acceleration = 15-5-7.5
→ Acceleration = 10 = 7.5
→ Acceleration = 1.3 m/s²
Now, by using Second equation of motion we can find distance travelled by
the car :
→s = ut + 2 at²
→s = 5 x 7.5 + 2× 1.3 × (7.5)²
s = 37.5+ 2 x 1.3 x 56.25
→s = 37.5 +1.3 × 28.125
s = 37.5+ 29.425
→s 66.925 m
Therefore, the distance travelled by the car is 66.925 m.
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