1.

A body travels a distance of 2 metre in 2 seconds and 2.8 metre in 4 seconds what will be the speed of the body at the end of the 10th second from the start

Answer»

ANSWER:

-1.7 m/s

Explanation:

USE equation of motion

S = ut + 0.5at²

In first 2 seconds

2 = 2u + 0.5a(2)²

2 = 2u + 2a

1 = u + a .....(1)

In first 4 seconds

2.8 = 4u + 0.5a(4)²

2.8 = 4u + 8a

0.7 = u + 2a .....(2)

Subtract (2) from (1)

1 - 0.7 = u + a - u - 2a

0.3 = -a

a = -0.3 m/s²

From equation (1)

1 = u + a

1 = u - 0.3

u = 1.3 m/s

Speed at the END of 10th second

v = u + at

= 1.3 + (-0.3 × 10)

= -1.7 m/s



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