A car initially at rest, picksup the velocity of 72 km/hr, over a distance of 25 m. Calculate the acceleration of car and time in which it picks up above velocity. Please don't spam
Answers
Given :-
Velocity of car = V = 72 Km/h = 20 m/s
Distance = S = 25 m
Concept :- When a body starts initially at rest then its initial velocity becomes zero and it's moving with final Velocity and while upward motion when a body is thrown upward then it's final velocity becomes zero at the highest point.
Now question,
v² = u² + 2aS
(20)² = 2a(25)
400/50 = a
a = 8 m/s²
Again for time,
v = u + at
20 = 8(t)
t = 20/8
t = 2.5 s
Answer:
Explanation:
Solution,
Here, we have
Initial velocity, u = 0 m/s (As car is at rest)
Final velocity, v = 72 km/h = 72 × 5/18 = 20 m/s
Distance covered, s = 25 m.
To Find,
Acceleration, a = ?
Time taken, t = ?
We know that,
v² - u² = 2as
⇒ (20)² - (0)² = 2 × a × 25
⇒ 400 = 50a
⇒ 400/50 = a
⇒ a = 8 m/s².
Hence, the acceleration of car is 8 m/s².
Now, we know that,
v = u + at
⇒ 20 = 0 + 8 × t
⇒ 20 = 8t
⇒ 20/8 = t
⇒ t = 2.5 seconds
Hence, the time taken by car is 2.5 seconds.