Acceleration

Question

a small block has constant acceleration as it slides down a frictionless incline. the block is released from the rest at the top of the incline and its speed after it has been traveled 6.80m to the bottom of the incline is (3.80m)/(s). What is the speed of the block when it is 3.40m from the top of the incline?

Answer 1

Let block's acceleration be a m/s²

 

Using v²-u² = 2as,

3.8² = 2a6.8 ,  => 1a = 3.8^2 /6.8

 

if v be the speed at 3.4 m from the top, v² = 2a3.4= (3.8^2 /6.8)*3.4 = 3.8^2 /2

v = 3.8/√2 =2.687

 

Speed is 2.687 m/s.