An object of mass 2 kg at rest at origin starts moving under the action of a force vecF=(3 t2 hati+4 hatt) N The velocity of the object at t=2 s will be

Question

An object of mass 2 kg at rest at origin starts moving under the action of a force vecF=(3 t2 hati+4 hatt) N The velocity of the object at t=2 s will be (A) (3 hati+2 hatj) m / s (B) (2 hati+4 hatj) m / s (C) (4 hati+4 hatj) m / s (D) (3 hati-4 hatj) m / s

Tardigrade Admin · Accepted Answer

vecF=3 t2 hati+4 t hatj P2-P1=(3 t3/3) hati+(4 t2/2) hatj P1=0 (2) v=(2)3 hati+2(2)2 hatj v=4 hati+4 hatj

Q. An object of mass $2 k g$ at rest at origin starts moving under the action of a force
$F = (3 t^{2} \hat{i} + 4 \hat{t}) N$
The velocity of the object at $t = 2 s$ will be

$(3 \hat{i} + 2 \hat{j}) m / s$

$(2 \hat{i} + 4 \hat{j}) m / s$

$(4 \hat{i} + 4 \hat{j}) m / s$

$(3 \hat{i} - 4 \hat{j}) m / s$

$F = 3 t^{2} \hat{i} + 4 t \hat{j}$
$P_{2} - P_{1} = \frac{3 t ^{3}}{3} \hat{i} + \frac{4 t ^{2}}{2} \hat{j}$
$P_{1} = 0$
$(2) v = (2)^{3} \hat{i} + 2 (2)^{2} \hat{j}$
$v = 4 \hat{i} + 4 \hat{j}$

Q. An object of mass 2kg at rest at origin starts moving under the action of a force F=(3t2i^+4t^)N The velocity of the object at t=2s will be

(3i^+2j^​)m/s

(2i^+4j^​)m/s

(4i^+4j^​)m/s

(3i^−4j^​)m/s