Question #38b0a

3 Answers
Feb 1, 2018

The acceleration is #=5.49ms^-2#

Explanation:

Apply the equation of motion

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

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

The time is #t=6.75s#

The distance is #s=125m#

The acceleration is

#a=2((s-ut)/t^2)#

#=2*((125-0)/6.75^2)#

#=5.49ms^-2#

Feb 1, 2018

#5.49 m/(s^2)#

Explanation:

#s=v*t +½at^2#. But v=0. Rearrange formula.

#a=(2s)/t^2#

#a=(2*125m)/(6.75s)^2=(250m)/(6.25 s)^2=(250m)/(45.56s^2)=5.49m/s^2#

Feb 1, 2018

#"Acceleration"~~5.49ms^(-2)#

Explanation:

#s=ut+1/2at^2#, where:

  • #s# = displacement (#m#)
  • #u# = initial velocity (#ms^(-1)#)
  • #t# = time taken (#s#)
  • #a# = acceleration (#ms^(-2)#)

#s=125m#
#u=0ms^(-1)#
#t=6.75s#

#125=0(6.75)+a(6.75)^2/2#
#color(white)(125)=0+22.78125a#

#a=125/22.78125~~5.49ms^(-2)#