Chapter 2, Problem 66P

acceleration ++++ time (a) (b) (c) Fig. 3.10 Graphs describing a body moving with constant positive acceleration: (a) acceleration versus time, (b) velocity versus time, and (c) position versus time speed (m/s) What Have I Learned So Far? Consider the given graph of speed versus time shown here. Then find the values of the following: 1 1. The acceleration from 0 s to 2 s 2. The acceleration from 2 s to 3 s 3. The acceleration from 5 s to 7 s 4. The distance traveled by the body from the 2nd to the 3rd second 5. The distance traveled by the body from the 5th to the 7th second 2 0 -1 veloci -2 momen time 1 2 3 posi bado 30.20 onit 4 time, (s) 5 time 6 Or [16] Menin qui grovdi 7 Moleto obsaheb Mied (20 od s volano tesi vor to szli nie The Physics of Point Particles

the motion of the particle is described by the equation x(t)=at^3-bt^2. where a is 3.36 in m/s^3 and b is 2.84 in m/s^2. find the instantaneous velocity in m/s of the particle from time t 5.93s. Express your answer rounded off to two decimal places. Do not include the unit.

A ball is launched straight upwards starting at a height of 0.47 ×× 0.06 m. If the ball reaches a maximum height of 4.1 ×× 0.05 m, with what speed was the ball launched?

In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor.To explain why he seems to hang in the air, calculate the ratio of the time he is above ymax/2 (moving up from ymax/2 to ymax and then moving down to ymax/2) to the time it takes him to go from the floor to that height. You may ignore air resistance.

A car accelerates with a constant acceleration of 1.8 m · s2 along a long straight road. How long does it take the car to accelerate from 100 kph to 110 kph, and how far does it travel while doing so? [Hint: watch your units and sig figs! Because there is no other information, take the speeds as three significant figures] It takes seconds to accelerate to 110 kph. While accelerating, the car travels m. Separate your answers with a comma. Example: a, b

An object is dropped at rest from the roof of a building of height h. Neglect air resistance. In the last t = 0.30 seconds the object falls a distance of h/5. What is the height of the building h in meters?

A car accelerates with a constant acceleration of 1.2 m · s-2 along a long straight road. How long does it take the car to accelerate from 100 kph to 110 kph, and how far does it travel while doing so? [Hint: watch your units and your significant figures. Because there is no other information, take the speeds as three significant figures.] It takes seconds to accelerate to 110 kph. While accelerating, the car travels m. Separate your answers with a comma. Example: a, b

the rocket starts from rest at t=0 and travel straight up. it's height above the ground as a function of time can be approximated by s=bt^2+ct^3, where b and c are constants. at t=10s, the rocket's velocity and acceleration are v= 229m/s and a=28.2 m/s^2 A.) determine the time in seconds at which the rocket reaches supersonic speed (325 m/s) B.) determine the value of constant B C.) determine the value of constant C

In applications of differential equations, solve the problem: A man and a parachute are falling with a speed of 173 ft/sec when the parachute opens and the speed is reduced so as to approach the limiting value of 15 ft/sec by an air resistance proportional to the square of the speed. Find time in terms of the velocity.