Question

a body moves with a velocity of 3m/s due east and then turns due north to travel with the same velocity .If total time of travel is 6 seconds .find acceleration of the body?

Answer 1

Answer:

Explanation:

Acceleration = resultant velocity ÷ total time

Since these are perpendicular velocities the resultant velocity will be the hypotenuse.

Hypotenuse = √(3²+3²) = √18 = 4.24m/s

Acceleration = 4.24/6 = 0.71m/s²

Answer 2

Explanation:

Final velocity =3

j

(towards y direction or North)

Initial velocity =3

i

( towards x direction or East)

So, change in velocity =3

j

−3

i

=3(

j

−

i

) m/s

Total time = 6 s

So, acceleration =∣3

6

(

j

−

i

)

∣=∣

2

(

j

−

i

)

∣=∣

2

1

(

j

−

i

)∣=

2

1

m/s

2

in the direction of north west.