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?

Question

134382 views around the world

You can reuse this answer
Creative Commons License

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#