MOTION PARAMETERS OF A PROJECTILE i) Time of ascent (ta) For a projectile the time to reach maximum height is called time of ascent. For a projectile, the vertical component of velocity vy,
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ii) Time of flight (T): For a projectile, the total time to reach the same horizontal plane of projection is called the time of flight. It is the total time for which the projectile remains in air.
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iii) Maximum height (Hmax): The vertical displacement of a projectile during time of ascent is the maximum height of the projectile. In the equation \( y = (u\sin \theta )t - \frac{1} {2}g
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iv) Horizontal Range (R) : This is defined as the horizontal distance covered by projectile during its time of flight. Thus, by definition, Range R= horizontal velocity X time
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v) Velocity of the Projectile at any Instant 't': The horizontal component of the projectile remains constant all the time. (because acceleration due to gravity has no component along the h
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10.For projectile, in the case of complimentary angles, a) Ranges are same Sol. If \(\theta\) and (90-\(\theta\)) are angles of projection, we have \( R_1 = \frac
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7.If 'T' is the time of flight of a projectile, maximum height H=\( \frac{1} {8}gT^2 \) Sol. We know that , \( T = \frac{{2u\sin \theta }} {g} \Rightarrow u = \frac{{gT}} {{2\si
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8.For a projectile, angle of projection [\(\theta\)], range[R] and maximum height [H] are related as \( = \tan \theta = \frac{{4H}} {R} \) Sol. Maximum height H = \( \frac{{u^2
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