Using a scale 1.0 cm = 40 km, how do you represent the following vectors. i) 100

Question

Using a scale 1.0 cm = 40 km, how do you represent the following vectors. i) 100 km South rightarrow length = ____ cm. ii) 200 km North-East rightarrow length = ____ cm iii) 88 km SE rightarrow ____ cm iv) 500 km North rightarrow = ____ cm. Find the x- and y- components of the following vectors (in terms of "unit"). Calculate and plot the length of the vectors with i) x-component= 12 cm, y-comp =9 cm: ii) x comp=8 in, y comp = 6 in. iii) x-comp = +8.0, y-comp = -2.0: iv) x comp = -3.00, y-comp = -4.00. Find the position (vector) of an airplane traveling first 400 km northbound and then another 400 km eastbound with reference to its initial position. What is the speed of the above plane in ease the whole travel took place in 2 hrs and 30 min? What is its velocity in km/hr? in m/s? What is the basic difference between speed and velocity? If an automobile travels at a speed of 25 m/s, what is its speed in km/hr?

Explanation / Answer

3

i) 40km = 100/40 = 2.5 cm , each cm = 40 km on the graph

ii)200 = 200/40 = 5 cm

iii) 88   = 88/40 = 2.2 cm

iv) 500 = 500/40 = 12.5cm

4. vec. MN : x-comp = -2.25 , y-comp =0

    vec. KL : x-comp = 1.5, y-comp = 2.0

    vec a: x-comp : 4, y-comp = 2

    vec b : x-comp =2, y-comp = -4  

     length in units along x-axis is x-comp and length along y-axis is the y-comp. the sign is used if it is in -ve diection or +ve direction of measurment as the direction of the vector points.

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