A particle covers 100 m in the first 5s and 300 m in the next 5s. Calculate the uniform acceleration. Calculate the initial velocity of the particle.

Explanation

Given`" "x_(1)=100m" "x_(2)=300m" "t=5s" "v_(0)=?, a=?`
We know that `" "a=(300-100)/((5)^(2))=(200)/(25)=8ms^(-2)`
`"Applying "x=v_(0)t+(1)/(2)at^(2)" where "s=100+300=400m`
`"We get "400 = v_(0)(t10)+1//2 xx8xx100`
`" "400=10v_(0)+400`
`therefore" "v_(0)=0`