2-Motion in a straight line

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Biragam Singh
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A particle starts from rest and its acceleration varies with time as $a(t)=6t−t^2$
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swimmer can swim at 4 m/s in still water. The river flows at 3 m/s. He wants to cross a 100 m wide river directly....?
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A ball is projected from the ground with a speed v0v0 at an angle θθ to the horizontal. It passes through the point (x,y)(x,y) during its flight....?
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A velocity-time graph of a particle is a parabola given by $v(t)=t^2−4t+3$. Find total displacement from t=0t=0 to t=5t=5 s.
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A body is thrown vertically upward with a velocity of 20 m/s. How long will it take to return to the same point?
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A ball is thrown up and passes through the same point at 3 s and 7 s after projection. What is its maximum height?
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Two cars, M and N, move in a straight line: $xM(t)=at+bt^2 , xN(t)=ft−t^2.$?
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A body travels along a straight line with the acceleration vs time graph given (assume triangular profile). If initial speed is $v_0$, what is ...?
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The displacement X of a particle moving in one dimension under the action of a constant force is related to time t by the equation t = ..?
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Determine the time taken by the stone to strike the ground.
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For a particle undergoing rectilinear motion with uniform acceleration, the magnitude of displacement is one third the distance covered in some time
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A lift is moving vertically upwards with speed $ 10 \mathrm{~m} / \mathrm{s} $ and acceleration $ 5 \mathrm{~m} / \mathrm{s}^{2} $ upwards.
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A car travels at a speed of $50 \mathrm{Km} / \mathrm{hr}$ for 30 min , at $30 \mathrm{Km} / \mathrm{hr}$ for the next 15 min ,
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A body covers first $\frac{1}{3}$ part of its journey with a velocity of $2 \mathrm{~m} / \mathrm{s}$,
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The relation between time and distance is given by $t = α * x^2 + β*x$ , where a and β are constants. The retardation, as calculated based ...?
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An alpha particle enters a hollow tube of 4 m length with an initial speed of 1 km/s. It is accelerated in the tube and comes out of it with a ...?
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The initial velocity of the particle is 10 m/sec and its retardation is 2 m/sec². The distance moved by the particle in 5th second of its motion is
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A bird is flying btw two cars moving towards each other on a straight road.one car has speed 27kmper hour while the other has a speed of 18kmperhr
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If velocity $v= a+ bt + ct^2$ ( where t is time), then dimensional formula of ab/c is
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