সরলরেখায় গতিশীল একটি কণার t সেকেন্ড সময়ে ত্বরণ (6t^2 - 3t) সেমি/সেকেন্ড ^2 , যদি 2 সেকেন্ড সময়ে কণার বেগ 10 সেমি/সে হয়, তবে t সেকেন্ড সময়ে কণার বেগ নির্ণয় করো।

Find f(0) for f(t)= 3t^2-10t+6 .

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm//s^(2) , at time t seconds. If the velocity of the particel at time 2 seconds be 10cm/s, find its velocity at time t seconds.

In the figure shown, m_(1) = 10kg, m_(2) = 6kg, m_(3) = 4kg. If T_(3) = 40 N, T_(2) = ?

In the figure shown, m_(1) = 10kg, m_(2) = 6kg, m_(3) = 4kg. If T_(3) = 40 N, T_(2) = ?

If the normal to the curve y (x) = int _(0) ^(2) (2 t ^(2) - 15 t + 10) dt at a point (a,b) is parallel to the line x + 3y = 5, a gt 1, then the value of |a + 6b| is equal to "________"

The acceleration of a particle moving along a straight line is (6t^(2)-3t)cm/s^(2), at time t seconds,If the velocity of the particle at time 2 seconds be 10cm/s ,find its veloctiy at time t seconds.

The magnetic flux through a coil varies with time t as follows: phi_(t) = (8t^(3) - 6t^(2) + t - 5) Wb What is the induced current through the coil at t = 4 s, given that the resistance of the coil is 10 Omega and the magnetic flux through the coil is perpendicular to its plane?

For absx lt1 the value of 1+3x+6x^2+10x^3+.....t o infty is

Show that the relation R, defined in the set of A all triangles as R = {(T_(1), T_(2)):T_(1) , is similar to T_(2) }, is equivalence relation. Consider three right angle triangles T_(1) , with sides 3, 4, 5, T_(2) , with sides 5, 12, 13 and T_(3) with sides 6, 8, 10, which triangle among T_(1), T_(2) , and T_(3) are related?

Moving along the x - axis there are two points with x = 10 + 6t, x =3 + t^(2) , the speed with which they are reching from eachother at the time of encounter is (x is the cm and t is in seconds)