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Acceleration and Displacement

How long is the electron in the accelerating region? Answer in units of s.

A rocket driven sled running on a straight level track has been used to study the physiological effects of large accelerations on astronauts. One such sled can attain a speed of 408m/s in a 1.6 starting from rest. What is the acceleration of the sled, assuming it is constant? Answer in units of m/s^2

How many g's would you pull? That is, what factor of times g = 9.8 m/s^2 is this?

How far does the sled travel in 1.6 s, straying from rest? Answer in units of m.

Consider the plot below describing the acceleration of a particle along a straight line with an initial position of 0m and an initial velocity of 0m/s.
]What is the velocity at 4s? Answer the units of m/s.

Calculate the magnitude of the position displacement after the car travels the first 5 s. Answer in units of m.

Calculate the position displacement after the car travels from 9s to 13s, if the car does not experience any acceleration during this time period. Answer in units of m.

Calculate the magnitude of the car's average velocity from 5s to 9s. Answer in units of m/s.

A ball is thrown upward. After reaching the maximum height, it continues falling back toward Earth. On the way down, the ball is caught at the same height at which it was thrown upward.

Neglect: Air resistance. The acceleration of gravity is 9.8 m/s^2

Its initial vertical speed V_0, acceleration of gravity g, and maximum height h_max are shown in the figure below.

If the time (up and down) the ball remains in the air is t_trip, calculate the speed v_f when its caught.

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