If a particle is moving along a straight line and its velocity varies with time as v = 2t - t2, (v and t are in SI units) then choose the incorrect option.

Question

If a particle is moving along a straight line and its velocity varies with time as v = 2t - t2, (v and t are in SI units) then choose the incorrect option. (A) Average velocity from t = 0 to t = (5/2) s is (5/12) m/s (B) Acceleration is zero at t = 1 s (C) Acceleration is 2 m/s2 at t = 0 (D) Average speed from t = 0 to t = 2 s is (4/3) m/s

Tardigrade Admin · Accepted Answer

Correct answer is (d) Average speed from t = 0 to t = 2 s is (4/3) m/s

Q. If a particle is moving along a straight line and its velocity varies with time as $v = 2 t - t^{2}$ , (v and t are in SI units) then choose the incorrect option.

Average velocity from $t = 0$ to $t = \frac{5}{2}$ s is $\frac{5}{12} m / s$

Acceleration is zero at t = 1 s

Acceleration is $2 m / s^{2}$ at t = 0

Average speed from t = 0 to t = 2 s is $\frac{4}{3} m / s$

Correct answer is (d) Average speed from t = 0 to t = 2 s is $\frac{4}{3} m / s$

Q. If a particle is moving along a straight line and its velocity varies with time as v=2t−t2, (v and t are in SI units) then choose the incorrect option.

Average velocity from t=0 to t=25​ s is 125​m/s

Acceleration is zero at t = 1 s

Acceleration is 2m/s2 at t = 0

Average speed from t = 0 to t = 2 s is 34​m/s

Correct answer is (d) Average speed from t = 0 to t = 2 s is 34​m/s

Q. If a particle is moving along a straight line and its velocity varies with time as $v = 2 t - t^{2}$ , (v and t are in SI units) then choose the incorrect option.

Average velocity from $t = 0$ to $t = \frac{5}{2}$ s is $\frac{5}{12} m / s$

Acceleration is $2 m / s^{2}$ at t = 0

Average speed from t = 0 to t = 2 s is $\frac{4}{3} m / s$

Correct answer is (d) Average speed from t = 0 to t = 2 s is $\frac{4}{3} m / s$