A body start from rest and with a uniform acceleration of 10m/s^2 for 5 second. during the next 10 second its moves with uniform velocity. the total distance travelled by the body its?

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Answer 1 · 2018-07-18T08:39:45

The total distance travelled is #=625m#

The initial velocity is #u=0ms^-1#

The acceleration is #a=10ms^-2#

The time is #t=5s#

Apply the equation of motion

#v=u+at#

The velocity is

#v=0+10*5=50ms^-1#

The distance travelled in the first #5s# is

#s=ut+1/2at^2#

#=0*5+1/2*10*5^2=125m#

The distance travelled in the following #10s# is

#s_1=vt_1=50*10=500m#

The total distance travelled is

#d=s+s_1=125+500=625m#