1) A blink lasts 100 milliseconds. How far does one travel in meters, if the planes average velocity is 2040mph?
2) A particles position is x=5-12t+3t^2, v=6t-12. The velocity at 1 sec = 6m/s. Is it moving toward x just then?
3) What is its speed just then?
4) Is the speed larger or smaller at much later times?
5) At what time is the velocity equal to zero?
6) What is the position at this time?
7) An automobile increases its speed uniformily from 26km/h to 72km/h in 0.56 min. A bicycle rider uniformily speeds up to 35km/h from rest in 0.56min. Calculate the acceleration of the automobile.
8) A plane in horizontal flight 40.0meters above level ground. The plane encounters terrain that sloped upward at 3.90 degrees. How much time does the pilot have to make a correction to avoid flying into the ground(s)? The speed of the plane is 1350km/h?
9) An animal leaps upward rising 0.524m in 0.210sec. What is its initial speed?
a) What is its speed at this height?
b) How much higher does it go?

Solution Preview

1. Distance = speed*time =
[(2040 mi/hour)(1 hour/3600 sec)][(100 msec)(1 sec/1000 msec)] = 0.0567 miles.
2) Since the velocity is positive, the particle is moving forward (increasing).
3) 6t-12 = 6, so t = 3
4) Larger. Let t be 1000, then the velocity is 6000 - 12. The 12 ...

Solution Summary

The distance a train travels and the average velocity of planes is given. This solution contains quick calculations and answers.

... b) Final velocity v = u + at = 8 + 0.4 x 40 = 24 m/s. Problem 5 : Just as a car accelerates from rest with an ... 1.4m/s2, a bus moving with a constant speed of 12m ...

... PE reduces and as it falls down with constant speed, its KE ... m _____ _____ a) As derived against problem 16 above ... Hence, velocity is less than 9 m/s. ...

... equations and - Execute & Evaluate = do the problem, state the ... is the y-component of the initial velocity that the ... d) What is the speed at which the football ...

... In the given problem : Wave length in air λ0 = 193 x 10-9 m ... Thus, the golf ball will rebound with a speed slightly less than the initial velocity of 3 m/s ...

... amplitude, harmonic motion, oscillation, speed, tuning fork ... Derive an expressions for particle velocity and acceleration. ... up by solving this problem: An object ...

... 0.30 m. After 0.65 sec, the angular speed of the ... riding around a circular track at the same angular velocity. ... m. What is the ratio of their linear speeds, v2/v1 ...

... a force must be applied to change their speeds, and that ... energy of the block and (d) the speed of the ... energy is never negative, even if the object's velocity is ...

... 6.0 kg travel toward each other at speeds of 12 m ... A plane flying horizontally at a speed of 50 ... line displacement time plot indicates constant velocity motion ...

... Let the initial speed of the ball be v. Then its total energy will be ... ke) E = ½ mv2 + ½ I w2 (w is the angular velocity = v/R ... A set of 6 parctice problems. ...