Question

Question #da5cc

Answer 1

`0.2s`, rounded to one decimal place.

Explanation:

Applicable kinematic equations are
`v^2-u^2=2as` .....(1)
`v=u+at` .....(2)
where `s` is distance traveled in time `t`, `u,v and a` are initial velocity, final velocity and acceleration of the object respectively.

Inserting given values in (1), we get (remember initial velocity of the dart is zero.)
`14^2-0^2=2axx1.2`
`=>a=14^2/(2xx1.2)=490/6ms^-2`

Inserting calculated value of acceleration in (2) we get
`14=0+490/6t`
`=>t=14/(490/6)`
`=>t=0.2s`, rounded to one decimal place.