Question

A body covers 10m in 2sec and 25m in 5sec of its motion.If the motion is uniformly accelerated,how far will it go in 7sec.
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Answer 1

Answer:

32 sec.

Step-by-step explanation:

32 sec is the answer.

Answer 2

S7 = 36 m

Step-by-step explanation:

S2=10m

S5= 25 m

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

S2= u+ (a/2) (4-1)

10 = u+ 3(a/2)...................(1) equation

S5= u + ( a/2) (10-1)

25= u+ (a/2) 9.....................(2) equation

By solving above equation we get

a=5m/s^2 and u= 2.5 m/s

S7= 2.5 + (5/2) (14-1)

= 36 m