Question

A Body Is Moving along X axis such that X (t) = (T - 2)^2 Calculate The distance covered by the body in 4 sec Also Find The Instateneous Velocity a T Sec​

Answer 1

Answer:

solved

Explanation:

X (t) = (T - 2)^2

X (t) = (t - 2)²

X (4) = (4 - 2)² = 2² = 4

v = 2(t - 2)

Answer 2

Answer:

Given: x(t) = ( t - 2 )²

Therefore Distance traveled in 4 seconds would be:

⇒ x(4) = ( 4 - 2 )²

⇒ x(4) = 2² = 4 m

Instantaneous Velocity = dx / dt

Therefore Differentiating x(t) with respect to t we get,

⇒ d ( t² - 4t + 4 ) / dt

⇒ 2t - 4

Therefore Instantaneous Velocity at T seconds is: 2T - 4.