Question

Two projectiles are thrown simultaneously in the same plane from the same point. If their velocities are $v_1$ and $v_2$ at angles ${\theta }_1$ and ${\theta }_2$ respectively from the horizontal, then answer the following questions: If $v_{1}cos{\theta }_1$ = $v_{2}cos{\theta }_2$, then choose the incorrect statement

• A. one particle will remain exactly below or above the other particle
• B. the trajectory of one with respect to other will be vertical straight line
• C. both will have the same range
• D. none of these

Answer 1

The correct option is C

both will have the same range

$v_{1}cos{\theta }_1$ = $v_{2}cos{\theta }_2$: It means horizontal Component of velocity are same so they will travel same horizontal displacement in same time. One will be below other at any time.

Range can be same if their time of flights are also same. For that $v_{1}sin{\theta }_1$ = $v_{2}sin{\theta }_2$, but this is not necessary.