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:
21 km /h is acceleration
7.2 × 21 is the time taken
GIVEN:
- Initial Velocity (u) of car = 15 km/hr
- Final velocity (v) of car = 36 km/hr
- Time taken (t) by the car = 5 sec
TO FIND:
- What is the acceleration and Distance covered by the car ?
SOLUTION:
We have given the initial and final velocity of car are 15 km/hr and 36 km/hr respectively.
Change the velocity in m/s:-
◉ Initial velocity = 15 km/hr
◉ u = 15
◉ u = 4.16 m/s
Final velocity = 36 km/hr
◉ v = 36
◉ v = 10 m/s
Let the acceleration of the car be 'a' m/s²
To find the acceleration of the car, we use the first Equation of motion:-
❰ v = u + at ❱
According to question:-
➸ 10 = 4.16 + a 5
➸ 10 –4.16 = 5a
➸ 5.84 = 5a
➸ = a
❮ a = 1.168 m/s² ❯
To find the distance travelled by the car, we use the formula:-
❰ s = ut + at²❱
According to question:-
➸ s = 4.16 5 + 1.168 (5)²
➸ s = 20.8 + 0.584 25
➸ s = 20.8 + 14.6
❮ s = 35.4 m ❯
❝ Hence, the acceleration and Distance covered by the car is 1.168 m/s² and 35.4 m respectively. ❞