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A projectile is short from the edge of a cliff 125m above ground level with an initial speed of 105 m/s at an angle of 37° with the horizontal.

1) Determine the time taken by the project to hit point p at ground level

2) Determine the range x of the projectile as measured from the base of the cliff

3) At the instant just before the projectile hits point p, find the horizontal and vertical components of the velocity.

4)The magnitude of the velocity.

5) The angle made by the velocity vector with the horizontal

1) Determine the time taken by the project to hit point p at ground level

2) Determine the range x of the projectile as measured from the base of the cliff

3) At the instant just before the projectile hits point p, find the horizontal and vertical components of the velocity.

4)The magnitude of the velocity.

5) The angle made by the velocity vector with the horizontal

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An object is dropped from a helicopter which is moving horizontally at a constant velocity of 45 m/s 180m above the ground. Find the time taken for the object to reach the ground.

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A bird flying at a height of 40m with a speed of 10 m/s drops a small fruit from its mouth. It free fall is assumed, find the speed of the fruit just before it reaches the ground.

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A particle is projected from level ground in such a way that its horizontal and vertical components are 20 m/s and 10 m/s respectively. Find,

1) the maximum height of the particle

2) its horizontal distance from the point of projection when it returns to the ground.

3) the magnitude and direction of its velocity on landing

1) the maximum height of the particle

2) its horizontal distance from the point of projection when it returns to the ground.

3) the magnitude and direction of its velocity on landing

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An aero plane moving horizontally at 150 m/s release a bomb at a height 500m. The bomb hits the intended target. What was the horizontal distance of the aero plane form the largest when the bomb was released?

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A projectile is fired from ground level with a velocity of 500 m/s at 30° to the horizontal. Calculate its horizontal range, the greatest height it reaches, and the time taken to rise to that height.

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A person pulls a crate with 120 N of force against 100 N of friction a distance of 5 meters. Sketch a free body diagram showing the forces acting on the crate and find the energy the person expends pulling the crate, the amount of energy converted to heat via friction, and the increase in the kinetic energy of the crate.

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The equivalent circuit of a pyroelectric detector may be taken to be a current source i feeding into a parallel combination of a capacitor C and a load resistor R.if P is the dipole moment per unit volume of the pyroelectric material,show that i can be written i=a(dp/dT)(dT/dt) where T is the temperature of the detector an dT/dt the rate of increase of temperature with time due to the absorption of radiation.

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A hammer of mass 3000 kg falls under graving from a height of 20m on to a pile of mass 2000 kg. If the file moves in to the ground 12 cm due to the blow, calculate the initial velocity of the pile assuming that the hammer and the pile are in contact after the collision also calculate the resistance fore offered by ground.

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An object of 2 kg released from a height of 80 m falls on a soft ground and comes to rest after penetrating to a depth of 20 cm. Calculate the force offered by the ground.

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