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Projectile Time, Height and Range

A particle is...

Question

A particle is thrown with a velocity of $u m / s$ . It passes $A$ and $B$ as shown in the figure at time $t_{1} = 1 s$ and $t_{2} = 3 s$ . The value of $u$ is
$(g = 10 m / s^{2})$

20 m / s

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10 m / s

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40 m / s

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5 m / s

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Solution

The correct option is C $40 m / s$
We know that
Time of ascent of a projectile = Time of descent of a projectile
As both $A$ and $B$ are at same height, so we can say
$t_{1} + t_{2} = T$ (time of flight)
$\Rightarrow T = 1 + 3$
$\frac{2 u sin θ}{g} = 4$
$u sin 30^{\circ} = 20$
$\Rightarrow u = 40 m s^{- 1}$
Hence, the correct answer is option (c)

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A particle is thrown with a velocity of u m/s. It passes A and B as shown in the figure at time t1=1 s and t2=3 s. The value of u is (g=10 m/s2)

The correct option is C 40 m/sWe know that Time of ascent of a projectile = Time of descent of a projectile As both A and B are at same height, so we can say t1+t2=T (time of flight) ⇒T=1+3 2usinθg=4 usin30∘=20 ⇒u=40 ms−1 Hence, the correct answer is option (c)

A particle is thrown with a velocity of $u m / s$ . It passes $A$ and $B$ as shown in the figure at time $t_{1} = 1 s$ and $t_{2} = 3 s$ . The value of $u$ is
$(g = 10 m / s^{2})$