The trajectory of a projectile is described by , where x is the horizontal displacement and y is the vertical displacement from the point of projection.
Find the angle of projection, in degrees to the nearest degree.
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The trajectory of a projectile is described by , where x is the horizontal displacement and y is the vertical displacement from the point of projection, and the angle of projection satisfies . Take ms.
Find the initial velocity of projection, in ms.
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Three coplanar forces act at a point Y. A force of 7 N is horizontal; a force of 6 N is inclined to it at above the horizontal on the same side; and a force of 5 N acts at below the horizontal, pointing away from Y in the opposite horizontal sense to the 7 N force.
Taking upwards as positive, find the vertical component of the resultant, in N.
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Three coplanar forces acting at a point Y have a resultant whose horizontal component is 6.53 N and whose vertical component is 2.096 N.
Find the magnitude of the resultant, in N.
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Three coplanar forces acting at a point Y have a resultant whose horizontal component is 6.53 N and whose vertical component is 2.096 N, both positive.
Find the angle, in degrees to the nearest degree, between the resultant and the horizontal.
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A particle starts from rest and accelerates at 2 ms for 3 seconds. It then maintains the attained velocity for 4 seconds and then decelerates at 5 ms for 2 seconds.
Find the velocity attained at the end of the first 3 seconds, in ms.
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A particle starts from rest and accelerates at 2 ms for 3 seconds, reaching 6 ms. It maintains that velocity for 4 seconds, so it is still travelling at 6 ms at s, and then decelerates at 5 ms for 2 seconds.
Find the velocity of the particle at s, in ms.
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A particle starts from rest and accelerates at 2 ms for 3 seconds, reaching 6 ms. It maintains 6 ms for 4 seconds, then decelerates at 5 ms for 2 seconds, so its velocity is ms at s and it is momentarily at rest at s.
Find the total distance travelled by the particle in the 9 seconds, in m.
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A particle travels 36.6 m forwards in the first 8.2 seconds of its motion, is momentarily at rest at s, and then travels 1.6 m backwards in the remaining 0.8 seconds.
Find the displacement of the particle at the end of the 9 seconds, in m.
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Two identical small trays, each of mass 0.2 kg, are connected by a light inextensible string passing over a fixed smooth pulley, and they balance. A mass of 80 grammes is then placed on one of the trays, which begins to move downwards. Take ms.
Find the acceleration of the trays, in ms.
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Two trays, one of mass 0.2 kg and the other of mass 0.28 kg, hang from a light inextensible string over a fixed smooth pulley and accelerate at 1.635 ms, the heavier one descending. Take ms.
Find the tension in the string, in N.
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A mass of 80 grammes rests on a tray that is descending with an acceleration of 1.635 ms. Take ms.
Find the magnitude of the force exerted on the 80 gramme mass by the tray, in N.
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