Jat

A ship is being steered due east. A current is flowing from north to south, so that the actual velocity of the ship is 12 km/h on a bearing of 120 degree . Find the speed of the current and still water speed of the ship

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and F

Starting simultaneously from the same spot, O, Alvin and Bernard set out across a field in the gog. Alvin travels with velocity i + 2 j m/s and Bernard with velocity 3i + j m/s, To avoid losing each other, they hold opposite ends of 90 m string. a) At wha...

When Studying Vectors, How Would I Go About Answering This Question? In Each of the following Cases, find the magnitude and direction of the resultant vectors of the two given vectors: a) a displacement of magnitude 26km on a bearing of 175 degrees and a...

An object is moving in a plane. At time t =0,it is at origin O, and moving with velocity u. After 2 seconds, it is at A, where OA = -2i - 4j. After 3 seconds, it is at B, where AB= 10i -40 j. Show that this is consistent with constant acceleration a. Find...

An aircraft is traveling horizontally in an easterly direction at a height of 400 m above level ground and at a speed of 120 m/s. when it is directly above the observer, M, it releases a package. In relation to origin O and to x and y directions of east a...

A particle p is initially at the point (2, 6) in relation to an origin O, and is moving with velocity (3i + j) m/s. It has a constant acceleration (16i + 24j)m/s^2. Show that after 2 seconds it is moving directly away from O and find its speed at that tim...

A particle is travelling with velocity (4i+5j)m/s. It undergoes an acceleration of magnitude 2.5m/s^2 in a direction given by the vector (3i-4j). Find the velocity and displacement of the particle from its initial position after 4s.

A child is splaying with a toy aero plane. the aero plane is flying with velocity (6i + 2j)m/s. A breeze begin to blow with velocity 0.5j m/s affecting the motion of the aero plane. a) find the magnitude of the resultant velocity of the plane b) find the...

A particle of mass m can just rest on a rough plane inclined at 30 degree to the horizontal without slipping down. show that the least horizontal force needed to maintain its position if the inclination is increased to 45 degree is 0.268mg.

Q.1 Find the force needed to accelerate a 2 kg block at 3m/s^2 up a rough plane (coefficient of friction 0.2) inclined at 25 degree to the horizontal if the force is a) Parallel to the slope b) horizontal c) at 45 degree to the upward verticle

In the direction of x u = 4i, a= 2.5(3/5) At t =4 v = u+at v= 4 + 2.5 (3/5)4=4+6=10 In the direction of y u = 5j, a= 2.5(-4/5) At t =4 v = u+at v= 5 + 2.5 (-4/5)4=5-8=-3 Hence V = 10i-3j Now we have initial and final velocities r = 1/2(u +v)t r = 1/2(4i+5...

a)by Phythagorous c^2 =a^2 + b^2 = 5^2+ 2^2=25+4=29 c=5.38m/s b)sin (theta)=2/5 theta = sin^-1 (2/5) theta=23.57 degree

Let F-Raoul be the force exerted by Raoul. Consider the direction perpendicular to Rory's direction, There is no nett force in that direction as there is no movement along it. F-Raoul Cos(40º) = 400 N * Cos(60º) ------> F-Raoul = 261 N Nett force in Rory'...

First force is F which is pushing block upward Second is the opposing forces, opposite to F The block accelerates, so there is a net force (UNbalanced forces) which is net F =(F-opposing forces). Since they are unbalanced and acceleration A results: netF...

thanks a lot Elena, your help is much appreciated