Two stones are thrown up simultaneously with | vedclass

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

Question

(A) Let the positions of the two stones be $x_1(t)$ and $x_2(t)$.For $0 \le t \le 6 \, s$,both stones are in the air under gravity $g$. Their position

Vedclass · Accepted Answer

Vedclass · Answer

(A) Let the positions of the two stones be $x_1(t)$ and $x_2(t)$.For $0 \le t \le 6 \, s$,both stones are in the air under gravity $g$. Their positions are $x_1(t) = u_1 t - \frac{1}{2} g t^2$ and $x_2(t) = u_2 t - \frac{1}{2} g t^2$.The relative position is $\Delta x = x_2 - x_1 = (u_2 - u_1) t$. Since $u_2 > u_1$,this is a linear function of $t$ starting from $0$ at $t = 0$ and increasing until $t = 6 \, s$.At $t = 6 \, s$,the first stone hits the ground,so $x_1(6) = 0$. For $6 \, s The relative position is $\Delta x = x_2 - 0 = u_2 t - \frac{1}{2} g t^2$. This is a downward-opening parabola.At $t = 10 \, s$,the second stone hits the ground,so $x_2(10) = 0$,making $\Delta x = 0$.Thus,the graph is a straight line from $t = 0$ to $t = 6 \, s$ and a parabolic curve from $t = 6 \, s$ to $t = 10 \, s$. This matches the first graph.

Similar Questions

Two cars $A$ and $B$ are travelling in the same direction with velocities $v_1$ and $v_2$ $(v_1 > v_2)$. When car $A$ is at a distance $d$ ahead of car $B$,the driver of car $A$ applies the brake,producing a uniform retardation $a$. There will be no collision when:

What are the speeds of two objects if,when they move uniformly towards each other,they get $4\,m$ closer in each second and when they move uniformly in the same direction with the original speeds,they get $4.0\,m$ closer each $10\,s$?

$A$ bus is moving with a velocity $10 \, m/s$ on a straight road. $A$ scooterist wishes to overtake the bus in $100 \, s$. If the bus is at a distance of $1 \, km$ from the scooterist,with what velocity should the scooterist chase the bus? (in $m/s$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module