Two balls A and B are thrown with the same ve | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the height of the tower be $h$ and the acceleration due to gravity be $g = 10 \ m/s^2$.For ball $A$ thrown upwards: $-h = ut_A - \frac{1}{2}gt

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) Let the height of the tower be $h$ and the acceleration due to gravity be $g = 10 \ m/s^2$.For ball $A$ thrown upwards: $-h = ut_A - \frac{1}{2}gt_A^2 \implies -h = 6u - \frac{1}{2}(10)(6)^2 \implies -h = 6u - 180 \implies h = 180 - 6u$  (Equation $1$)For ball $B$ thrown downwards: $h = ut_B + \frac{1}{2}gt_B^2 \implies h = 2u + \frac{1}{2}(10)(2)^2 \implies h = 2u + 20$ (Equation $2$)Equating the two expressions for $h$: $180 - 6u = 2u + 20$$160 = 8u \implies u = 20 \ m/s$Substituting $u$ in Equation $2$: $h = 2(20) + 20 = 40 + 20 = 60 \ m$.Thus,the height of the tower is $60 \ m$.

Two balls $A$ and $B$ are thrown with the same velocity $u$ from the top of a tower. Ball $A$ is thrown vertically upwards and ball $B$ is thrown vertically downwards. If $t_A = 6 \ s$ and $t_B = 2 \ s$,then the height of the tower is ......... $m$.

Similar Questions

$A$ stone is shot straight upward with a speed of $20\, m/s$ from a tower $200\, m$ high. The speed with which it strikes the ground is approximately........$m/s$.

The velocity-time curve for a body projected vertically upwards is:

$A$ body falls freely from the top of a tower. It covers $36\%$ of the total height in the last second before striking the ground level. The height of the tower is........$m$

$A$ stone is dropped from a height $h$. Simultaneously,another stone is thrown up from the ground which reaches a height $4h$. The two stones cross each other after time:

$A$ juggler maintains four balls in vertically upward motion. He throws the next ball every $1/4 \, s$. For the show to continue,what should be the height to which he throws each ball? (Assume $g = 10 \, m/s^2$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module