Question 3: Motion in 2D & Vectors

Question

Assertion : When $$	heta=45^{\circ}$$ or $$135^{\circ}$$, the value of $$R$$ remains the same, only the sign changes.
Reason : $$R=\frac{u^2 \sin 2 	heta}{g}$$

Accepted Answer

Horizontal range $$=\frac{u^2 \sin 2 	heta}{g}$$
When $$	heta=45^{\circ}$$, maximum horizontal range
$$R_{\max }=\frac{u^2}{g} \sin 90^{\circ}=\frac{u^2}{g}$$
When $$	heta=135$$, maximum horizontal range
$$R=\frac{u^2}{g} \sin 270=\frac{-u^2}{g}$$
Negative sign implies opposite direction.

Answer

Both assertion and reason are true and reason is the correct explanation of assertion

Answer

Both assertion and reason are true but reason is not the correct explanation of assertion

Answer

Assertion is true but reason is false

Answer

Both assertion and reason are false.

Motion in 2D & Vectors

Assertion : When $\theta=45^{\circ} or 135^{\circ}, the value of R remains the same, only the sign changes. Reason : R=\frac{u^2 \sin 2 \theta}{g}

Choose the correct answer: