Question

A particle starts from rest of move with constant acceleration 4 m/s² along straight line then, Calculate velocity when it travel distance of 80 m​ step - by step explaination

Answer 1

25.3 m/s

Step-by-step explanation:

According to the laws of motion, the final velocity and the distance traveled by a particle moving at constant acceleration a m/s² is given by the equation

`v^2 = v_0^2 + 2a(x - x_0)`

where

v= final velocity m/s
v₀ = initial velocity m/s
x = final position m
x₀ = initial position m
a = acceleration in m/s²

x - x₀ is called the displacement, d

We are given
v₀ = 0 since particle is starting at rest
d = 80 m
a = 4 m/s²

Plugging these values into the above equation.

v² = 0 + 2 x 4 x 80 m²/s²

v² = 640 m²/s²

v = √640 = 8√10 ≈ 25.3 m/s