A particle starts from the origin at $$t=0$$ with an initial velocity of $$3.0i^$$ $$m/s$$ and moves in the x−y plane with a constant acceleration $$6.0i^+4.0j^m/s2$$. The $$x-coordinate$$ of the particle at the instant when its y–coordinate is $$32m$$ is $$________$$ meters.

Question

A particle starts from the origin at $$t=0$$ with an initial velocity of $$3.0i^$$ $$m/s$$ and moves in the x−y plane with a constant acceleration $$6.0i^+4.0j^m/s2$$. The  $$x-coordinate$$ of the particle at the instant when its y–coordinate is $$32m$$ is $$________$$ meters.

Infinity Learn · Accepted Answer

Given  : $$ux=3m/s$$,$$ax=6m/s2$$,$$ay=4m/s2$$​By applying equations of Kinematics  : ​ $$y=uyt+12ayt2$$    ​⇒$$32=0+12$$×$$4$$×$$t2$$⇒$$t2=16$$    ​⇒$$t=4s$$    ​Now, $$x=uxt+12axt2$$ ⇒$$x=3$$×$$4+12$$×$$6$$×$$16$$​       ⇒$$x=12+48=60m$$

A particle starts from the origin at $t = 0$ with an initial velocity of $3.0 \hat{i} m / s$ and moves in the $x - y$ plane with a constant acceleration $(6.0 \hat{i} + 4.0 \hat{j}) m / s^{2}$ . The $x$ -coordinate of the particle at the instant when its y–coordinate is 32m is ________ meters.

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A particle starts from the origin at t=0 with an initial velocity of 3.0i^ m/s and moves in the x−y plane with a constant acceleration 6.0i^+4.0j^m/s2. The x-coordinate of the particle at the instant when its y–coordinate is 32m is ________ meters.

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A particle starts from the origin at $t = 0$ with an initial velocity of $3.0 \hat{i} m / s$ and moves in the $x - y$ plane with a constant acceleration $(6.0 \hat{i} + 4.0 \hat{j}) m / s^{2}$ . The $x$ -coordinate of the particle at the instant when its y–coordinate is 32m is ________ meters.