Find the magnitude of the instantaneous acceleration (in m/s2) of an object that moves at a constant speed around a circle if it take it 6.59 s to complete one revolution. The radius of the circle is 1.96 m. Round your answer to 2 decimal places.

Find the magnitude of the instantaneous acceleration (in m/s²) of an object that moves at a constant speed around a circle if it take it 4.24 s to complete one revolution. The radius of the circle is 2.52 m.

A car is driven 230 km west and then 85 km southwest. What is the magnitude of the car's displacement?

answer with steps please

D = (oxt) + (1/2 * 8.93* (4.7)2) I D = 98.63 meter 5. You are about to skateboard down a long hill. Your initial velocity is 2.0 m/s south. When you reach the bottom of the hill you are travelling 6.0 m/s south. It took you 57 seconds to reach the bottom of the hill. What was your displacement?

The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.

The position of an object in circular motion is modeled by the given parametric equations, where t is measured in seconds. x=7sin((pi/8)t), y=-7cos((pi/8)t) How long (in sec) does it take to complete one revolution?

A child rides a pony on a circular track whose radius is 4.5 m.(a) Find the distance traveled and the displacement when the child has gone halfwayaround the track.(b) How does the distance traveled change while the child completes one circuit of thetrack? Explain.(c) How does the displacement change while the child completes one circuit of thetrack? Explain.(d) Find the distance and displacement after a complete circuit of the track.

needs complete typed solution with 100 % accuracy.

The acceleration due to gravity, g, is constant at sea level on the Earth's surface. However, the acceleration decreases as an object moves away from the Earth's surface due to the increase in distance from the center of the Earth. Derive an expression for the acceleration due to gravity at a distance h above the surface of the Earth, gh. Express the equation in terms of the radius R of the Earth, g, and h. &h= Suppose a 74.35 kg hiker has ascended to a height of 1893 m above sea level in the process of climbing Mt. Washington. By what percent has the hiker's weight changed from its value at sea level as a result of climbing to this elevation? Use g = 9.807 m/s² and R = 6.371 × 106 m. Enter your answer as a positive value. weight change = %