Question

1)Draw the following vectors and the resultant and calculate the magnitude and direction. Velocities of: 3m/s at 18° and 7m/s at 115° when acting simultaneously on a point. 2)Acceleration of a⃗ = 1.5 m/s2 at 90° and b⃗ = 2.6 m/s2 at 145° act at a point. Draw a diagram and find a⃗ − b⃗ . 3)A ship heads in a direction of E 20°S at a speed of 20 knots while the current is 4 knots in a direction of N 30° E. Draw the two vectors and the resultant.

Answer 1

Use concepts of vectors.

7 m/s V = V 1, 2+, 2+20, U, cos o 3 m/s vag + 49 7 42 cos (970) V 7.2 m/s =jismis? - - a² + 62 - 2ab coso = V1.52+262 2x1.5x2i6 cos 45' 1.86 m/s? Tas Scanned with Scanner