The motion of the particle along a straight line is governed by the relation a = t3 – 2t² + 7 where a is the acceleration in m/s² and t is the time in seconds. At time t = A second, the velocity of the particle is v m/s and the displacement is d m. Calculate the displacement, velocity and acceleration at timet = 2 seconds. * 0.5 A = second V = .m/s d = 25

Q: 3. A particle with a mass of 3 kg has velocity = 51 + 7j - 3km/s. The total force acting on the…

A:

Q: cannon is fired so that a cannonball is launched with a horizontal velocity of +27.5 m/s and a…

A: For the solution refer below images.

Q: If a ball is thrown into the air with a velocity of 52 ft/s, its height in feet t seconds later is…

A: Given data: Velocity = 52 ft·s-1 Height in feet t seconds later is given as = yt =52t-16t2

Q: An unknown particle was observed to be moving on a curvilinear path. The position of the said…

A: Given,  Position vector = r → =  3t i + 2 sin π4 t j + 2 cos π4 t k  Tangential acceleration = at =…

Q: 4. A girl tosses a ball at an initial velocity of A = 8 ft/s at an angle of 0 = 25°. A boy catches…

A: For solution refer below images.

Q: During a short interval of time, the speed v (in m/s) of a motorcycle is given by the following…

A: Given speed of the object is expressed as V = at2 + bt3  , in  m/s

Q: The position of a particle is given by s = 0.23t³ -0.77t² -2.50t + 5.65, where s is in feet and the…

A:

Q: A particle moves along a straight line with a velocity of +(6+2) ft/s, where t is in seconds. What i…

A: velocity (v) = +(6t2) ft/s1-D straight line motion is performed.

Q: A box slides down a ramp with position vector givem At t = 3 s, what is the box's velocity and…

A: GIVEN: A box slides down a ramp with position vector given by r=0.5+ i + 3t2 i +8t k (m), where t is…

Q: Neglect the diameters of the small pulleys and establish the relationship between the velocity of A…

A:

Q: A5.2: The path of a point is defined by the equation R = (t²+4)e-int/10, where R is in meters. Find…

A: To find the velocity of the point function attime

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.