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Q1. The position of a particle moving along an x axis is given by x = 12t2 - 2t3, where x is in meters and t is in seconds. Find out (a) position, (b) velocity, and (c) the acceleration of the particle at t = 3.0s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Find out the average velocity of the particle between t = 0 and t = 3s.
Q2. A plane flies from base camp to Lake A, 300 km away in the direction 36.9° south of east. After dropping off supplies it flies to Lake B, which is 260km at 30.0° west of north from Lake A. find out the distance and direction from Lake B to the base camp. (Make a graph)
A 6.4kg ball, hanging from the ceiling by a light wire 135cm long, is struck in an elastic collision by a 1.80 ball moving horizontally at 4.20 m/s just before the collision. Find the tension in the wire just after the collision.
After the ambulance passes, the observed frequency of the siren is 493 Hz. Conclude the ambulance's speeds from these observations.
Suppose a ping-pong ball and a bowling ball are rolling toward you with the same momentum, and you exert the same average force in stopping each of them.
Two children setup a "telephone" by placing a long, slender aluminium (Y = 6.9 × 1010 N/m2) bar that has a length of 6.1-m between their two houses. To communicate, the child taps a coded message on one end. How long do the sound waves take to reach ..
A 2.00-m tall basketball player is standing on the floor 10.0 m from the basket. If he shoots the ball at a 30 degree angle from the horizontal, at what initial speed must he throw the ball so that it goes through the basket without striking the back..
Find out the type of mirror and how far the object is
Two identical carts travel at 1m/s in opposite directions on a common horizontal surface. They collide head-on and are reported to rebound, each with the speed of 2m/s.
The concrete encloses one steel reinforcing rod with cross-sectional area 1.00cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 x 10^10 N/..
A marble is thrown horizontally with a speed of 19.0 m/s from the top of building. When it strikes the ground, marble has a velocity that makes an angle 75° with the horizontal. From what height above the ground was the marble thrown.
Study of the fragment
290 Kg piano slides 4.0 m down a 30 degree incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is .40.
When subject to a steady acceleration of 0.800 g, the object must be located 0.600cm from its equilibrium position. Find the force constant required for the spring.
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