Question

A car is starting from rest , travelled a distance S and gained a velocity v. What is the distance travelled by the car when it continuous to move with the same acceleration and velocity is doubled?
A) 2S
B) 3S
C) S
D) 4S

Answer 1

Answer:

Initial velocity, u = 0

final velocity = v

distance traveled = S

Let acceleration = a

From equations of motion, S = (v² - u²)/2a

⇒ S = (v² - 0²)/2a

⇒ S = v²/2a

when it continuous to move with the same acceleration and velocity is doubled;

Initial velocity, U = v

final velocity, V = 2v

distance travelled = X

acceleration = a

From equations of motion, X = (V² - U²)/2a

⇒ X = [(2v)² - v²]/2a

⇒ X = (4v² - v²)/2a

⇒ X = 3v²/2a = 3 * (v²/2a)

⇒ X = 3S