Expert Answers

Ex1 : . A cyclists are slowly uphill with velocity is v1 = 18 km / h. At the same time other people cycling fast downhill steadily happy velocity is v2 = 3.6 km / h. The magnitude of the two vehicle acceleration equal and equal to 0.2 m/s2. Initial distance of the two vehicles is 120 meters.
a. Equation of transfer of each vehicle with the same origins, and the positive root of time.
b. Find the location and timing of the two cars meet.
When they meet, x₁ = x­₂.  Using this and solving for the time gives:

Ex.2: A small car sliding on an air chute tilt. Choose the Ox axis coincides with the trough and positive direction downwards. Knowing that the car's acceleration is 8 cm/s2 constant, and passes at the origin, its velocity is v0 = - 6 cm / s.
a. Write an equation of motion of the car, taking root at the time that passes the origin.
b. Ask any car in the direction of motion, how long it would stop? At that time the car at any location?
c. Then how does the car move? Consider the vehicle's velocity after 3s since stopped. At that time the car is in any position?

Ex.3 :Car moving at constant velocity of 30m / s. The foot of the slope a machine suddenly shut down and cars in the momentum going uphill. It is always subject to an acceleration in the opposite direction with velocity equal to 2 m/s2 during uphill and downhill.
a. Write an equation of motion of the car. Take the origin and original at the time vehicle location slopes.
b. Timing it to end distance.
c. Calculate the velocity of the car after 20 seconds. At that cars moving in what direction?
Ex.4: Two objects are thrown vertically up from the same point with the same initial speed v0 = 25m / s, material objects one after another period of time t0.
a) Let t0 = 0.5 s. Ask two bodies met Monday after throwing objects at how long and how high?
Ex.5: An object was thrown from the point M at a height h = 45 m with initial speed v0 = 20 m / s horizontal. Please specify:
a) Type of object trajectories. 
b) Time in the air flying objects.
c) Range of distant objects.
d) The velocity of the object when touching the ground.
Take g = 10 m/s2, ignoring air resistance

Ex. 6: From a height of 7.5 m above the ground, a ball is thrown up against oblique horizontal with initial speed 10m / s.
a) The trajectory of the object.
b) Height Maximum material gain.
c) The velocity of the object when it touches the ground and at time t = 2 seconds after the throw.

Ex.7: The system as shown:
m₁ = 5kg, , m₂ = 2kg, .   Find the acceleration of motion and tension of the string.

Ex.8: An object placed on the inclined plane (angle α = 30 deg) are transmitted by the velocity parallel to the inclined plane (photo). The coefficient of friction between the object and the inclined plane is . Take free fall acceleration g = 10 m/s2. Calculate the acceleration of the object in the object slide up the inclined plane.

Ex.9: An object is thrown vertically with a velocity of 4.9 m / s. At the same time at a high point with the maximum height to which objects, people thrown into one another along the vertical speed of 4.9 m / s. How long the two objects collide? Take g = 9.8 m/s2.
Ex.10: An object with mass m = 1 kg is placed horizontally on a table. It can tow with a horizontal force and a magnitude F = 2N. Take g = 10m/s2. The coefficient of friction between the object and the table is at m = 0.15. Calculate the acceleration of the object motion.