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Physics
Acceleration
A car is moving with a constant speed of $70{\text{ }}\dfrac{{km}}{h}$, which of the following statements is CORRECT?
A. The acceleration of the car is definitely zero
B. The car has an acceleration only if it is moving along a curved path
C. The car may have acceleration even if it is moving along a curved path
D. None of the above
Physics
Acceleration
If $t = \dfrac{{{v^2}}}{2}$, then $\left( {\dfrac{{ - df}}{{dt}}} \right)$ is equal to, (where $f$ is acceleration)
A. $(1){f^2}$
B. $(2){f^3}$
C. $(3) - {f^3}$
D. $(4) - {f^2}$
Physics
Acceleration
A particle moves along the x-axis in such a way that its position at time $t$ is given by $x(t) = \dfrac{{2 - t}}{{1 - t}}$ .What is the acceleration of the particle at time $t = 0$ .
Physics
Acceleration
A particle is moving with a velocity of $10m{\text{ }}{s^{ - 1}}$ towards east. After $10s$ its velocity changes to $10m{\text{ }}{s^{ - 1}}$ towards north. Its average acceleration is?
A. $0$
B. $\sqrt 2 m{\text{ }}{s^{ - 2}}$towards N-W
C. $\dfrac{1}{{\sqrt 2 }}m{\text{ }}{s^{ - 2}}$ towards N-E
D. $\dfrac{1}{{\sqrt 2 }}m{\text{ }}{s^{ - 2}}$ towards N-W
Physics
Acceleration
The equation for the distance a particle travels in a straight line from a point is $s = 45t + 11t - {t^3}$ . Find the velocity expression in terms of t, the acceleration expression in terms of t, and the velocity and acceleration when t= 3 seconds.
Physics
Acceleration
The position of a particle is given by $s = f(t) = {t^3} - 6{t^2} + 9$ where $t$ is in seconds and $s$ is in metres.
(a) when is the particle moving backwards (that is in the negative direction)?
(b) Find the acceleration at time t and after $4s?$
Physics
Acceleration
A particle starts from rest and moved in a straight line the velocity of the particle at time t after start is $vm{s^{ - 1}}$ where $v = 0.01{t^3} + 0.22{t^2} - 0.4t$. Find the time at which the acceleration of the particle is greatest?
Physics
Acceleration
The minimum acceleration attained on the interval $0 \leqslant t \leqslant 4$ by the particle whose velocity is given by $v(t) = {t^3} - 4{t^2} - 3t + 2$ is?
Physics
Acceleration
The acceleration of block of mass 5 kg is: (neglect friction)
(A). $5\text{ m}{{\text{s}}^{-2}}$
(B). $10\text{ m}{{\text{s}}^{-2}}$
(C). $15\text{ m}{{\text{s}}^{-2}}$
(D). $20\text{ m}{{\text{s}}^{-2}}$

Physics
Acceleration
A body at rest starts sliding from top of a smooth inclined plane and requires $4\,\sec$ to reach bottom. How much time does it take, starting from rest at top, to cover one-fourth of a distance?
A. $1\sec$
B. $2\sec$
C. $3\sec$
D. $4\sec$
Physics
Acceleration
Which of these is an example of deceleration?
A. a roller coaster moving down a steep hill
B. an airplane following a straight flight path
C. a bird taking off for flight
D. a car approaching a red light
Physics
Acceleration
On a two lane road, car $A$ is travelling with a speed of $36{\text{ }}\dfrac{{km}}{{hr}}$. Two cars $B$ and $C$ approach car $A$ from opposite directions with speeds of ${\text{54 }}\dfrac{{km}}{{hr}}$ each. At a certain instant, when both car $B$ and $C$ are at a distance of $1{\text{ }}km$ from $A, B$ decides to overtake car $A$ before $C$ does. What minimum acceleration of B is required to avert an accident?
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