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A police officer is hiding behind billboard on the side of the road. A speeding car drives by a constant speed 60 miles/hr. this is way above 35 miles/hr. speed limit. in order to catch the violator, the ofdicer accelarates at a constant rate of 3.90m/s^2 .how far from the billboard does the officer catch the speeder?

A child runs straight off the end of a diving platform at a (horizontal) speed of ⃗v0. The platform is H=10.0 m above the surface of the water and the child lands a horizontal distance of D=1.43 m.

A. Calculate the time required for the child to reach the water.

B. Calculate v0.

C. Calculate the magnitude of the child’s velocity when they hit the water.

D. Calculate the direction of the velocity when the child hits the water


A 18 kg block starts from rest and slides down a frictionless incline. When the block has slide a distance of 2.0 m , it’s speed is 1.8 m/s. at what angle above the horizontal is the inclined plane tilted


a ball of mass 100g is thrown vertically from the edge of a table with a speed of 1.3 m/s to compress a spring of a coefficient of 120 n/m. what is the height of the table if the spring compressed to 10.6 cm


About strikes anunder water rock and opens a pencil-sized crack 7.0mmwide 

min to locate the crack and plug it up. How much water has entered the boat in the meantime?


A particle executes SHM of amplitude 5m when the particle is 3m from its mean position, its
acceleration is found to be 48m/s2
. Find (i) velocity (ii) time period (iii) Maximum velocity

A tractor of mass 2000kg pulls a trailer of mass 1500kg. The total frictional force is 3000N and acceleration of tractor and trailer is 3ms^-2 calculate:

a. The force exerted on the tractor by the tow bar when acceleration is 3ms^-2

b. The force exerted when did tractor and the trailer are moving on a constant speed of 4ms^-1


An automobile of mass 103kg moves with a velocity of 60m/s. The driver applies the brakes to reduce the velocity to 20m/s. What is the energy dissipated during the application of the brakes?

Sturridge scores from a free kick by kicking a stationary football with a force of 40N. If the ball has a mass of 0.4kg and his foot is in contact with the ball for 0.1s calculate:

1) The change in momentum of the ball (its impulse).

2) The speed the ball moves away with


- A 5C charge is positioned at x = 0cm and a -2C charge at x = 3cm. Calculate the magnitude of the force felt by each charge and determine if the force is repulsive or attractive. Given that Coulombs constant k = 9x109 Nm2C -2


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