Select the incorrect statement:

1.	It is possible to have \(\left|\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}}\right| = 0 \) and \(\frac{\mathrm{d}|\overrightarrow{\mathrm{v}}|}{\mathrm{dt}} \neq 0 \)
2.	It is possible to have\(\left|\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}}\right| \neq 0 \) and \(\frac{\mathrm{d}|\overrightarrow{\mathrm{v}}|}{\mathrm{dt}}=0 .\)
3.	it is possible to have\(\left|\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}}\right|=0\) and \(\frac{\mathrm{d}|\overrightarrow{\mathrm{v}}|}{\mathrm{dt}}=0 . \)
4.	It is possible to have \(\left|\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}}\right| \neq 0\) \(\frac{\mathrm{d} \overrightarrow{\mathrm{v}}}{\mathrm{dt}} \neq 0 \)

A projectile is fired horizontally from the top of a tower. The time after which the instantaneous velocity will be perpendicular to the initial velocity is (neglect air resistance) :

(1) $\mathrm{t} = \frac{\mathrm{u} \sin \mathrm{\theta }}{\mathrm{g}}$

(2) $\mathrm{t} = \frac{\mathrm{u}}{\mathrm{g} \sin \mathrm{\theta }}$

(3) $\mathrm{t} = \frac{\mathrm{u}}{\mathrm{g} \cos \mathrm{\theta }}$

(4) It will never be perpendicular at any instant

A particle of mass 2 kg is moving in a circular path with a constant speed of 10 m/s. The change in the magnitude of velocity when a particle travels from P to Q will be: [assume the radius of the circle is 10/${\mathrm{\pi }}^2$]
         

Uniform circular motion is an example of:

(1) Uniform motion

(2) Uniform speed

(3) Uniform acceleration

(4) Non-uniform speed

Given below are two statements: 

Given below are two statements: 

Given below are two statements: 

Given below are two statements: 

Given below are two statements: 

Given below are two statements: