Question

A body describes 20m in the 20 th second and 40m in the 4 th second. If the motion is uniformly accelerated, how far will it go in the next 5 seconds?

Answer 1

QUESTION ⤵️

A body describes 20m in the 2 th second and 40m in the 4 th second. If the motion is uniformly accelerated, how far will it go in the next 5 seconds?

ANSWER ⤵️

distance travelled by uniformly accelerated body in nth s is given by....

Sn = u+1/2a(2n-1)

here, a is acceleration

u is initial velocity

Sn= 20s at n=2

✔️20= u+3a/2.............eq(1.)

Sn = 40s at n= 4

✔️40= u+ 7a/2............…...eq(2.)

solving (1.) and (2.) we get,

a= 10 m/sec^2

u= 5m/s

now we have to find velocity at t= 5 seconds

v=u+at

v= 55m/sec

and distance travelled is

S= ut+1/2at^2

S=150m

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