a car acceleration form 15 km / h to 36 km/h in 5 sec calculate and calculate 1) the acceleration and 2) distance cover by car in this time.
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Answers
Answer:
Given
Initial velocity=18 km/hr = 5 m/s
Final velocity=v=36km/h=10 m/s
Time taken = 5 seconds
We need to calculate acceleration and distance traveled
We know that
acceleration a = (v-u)/t
Substituting the given values in the above equation we get,
a=(10-5)/5 =5/5= 1 m/s2
We know that distance travelled is calculated by the formula
Distance travelled S = u t + (1/2) a t2
Substituting the given values in the above equation we get,
S =5×5 + (1/2)×1×52
25 + (1/2) X 25
25 + 12.5
= 37.5 m
Hence
acceleration a =1 m/s2
Distance travelled S =37.5 m
Answer:
- Initial Velocity (u) = 15 km/hr = 4.16 m/s
- Final Velocity (v) = 36 km/hr = 10 m/s
- Time taken (t) = 5 seconds
★ According to Question :
By using first equation of motion we get :
→ v = u + at
→ 10 = 4.16 + a(5)
→ 10 - 4.16 = 5a
→ 5.84 = 5a
Dividing both the sides by 5 we get :
→ a = 1.168 m/s²
Now, let's find the distance travelled by the car
By Using Third Equation of motion we get :
⇢s = ut + ½at²
⇢s = (4.16)(5) + ½ (1.168)(5)²
⇢s = 20.8 + 0.584 × 25
⇢s = 20.8 + 14.6
⇢s = 35.4 m
Therefore,
- Acceleration produced by the car is = 1.168 m/s²
- Distance travelled by the car = 35.4 m