Given vectors d (3.00 m, 315 degrees wrt x-axis) and e (4.50 m, 53.0 degrees wrt x-axis), find the resultant r= d + e. (a) write r in vector form. (b) write r showing the magnitude and direction in degrees.

(a)

(b) (5.05 m, 16.93 degrees wrt x-axis)

Explanation:

Given:

Let us first fond out vector D and E in their rectangular form.

Similarly,

Part (a):

We can write the resultant vector R as below:

Part (b):

Since both the components of the resultant lie on the positive x and y axes. So, the resultant makes an acute angle with the positive x-axis.

So, R = (5.05 m, 16.93 degrees wrt x-axis)

when two balls of the different masses are dropped from equal height, they reach the ground at the same time .this is because they experience the same acceleration.

the acceleration is independent of mass.

thus when they are dropped they will always maintain the same velocity and travel the same distance (neglect air resistance of course) at the same time.