1. In 1976, Kitty Hambleton of the United States drove a rocket-engine car to a maximum speed of 965 km/h. Suppose Kitty started at rest and underwent a constant acceleration with a magnitude of 4.0 m/s2• What distance would she have had to travel in order to reach the maximum speed?









2. With a cruising speed of 2.30 x 103 km/h, the French supersonic passenger jet Concorde is the fastest commercial airplane. Suppose the landing speed of the Concorde is 20.0 percent of the cruising speed. If the plane accelerates at -5.80 m/s2, how far does it travel between the time it lands and the time it comes to a complete stop?





3. The Boeing 747 can carry more than 560 passengers and has a maxi-
mum speed of about 9.70 x 102 km/h. After tak~off, the plane takes a . certain tip1e to reach its maximum speed. Suppose the plane has a constant acceleration with a magnitude of 4.8 m/s2. What distance does the plane travel betwe~n the moment its speed is 50.0 percent of maximum
and the moment its maximum speed is attained?





4. The distance record for someone riding a motorcycle on its r~ar wheel
without stopping is more than 320 km. Suppose the rider in this unusual situation travels with an initial speed of 8.0 m/s before speeding up. The rider then travels 40.0 m at a constant acceleration of
2.00 m/s2• What is the rider\'s speed after the acceleration?





5. The skid marks left by the decelerating jet-powered car The Spirit of America were 9.60 km long. If the car\'~ acceleration was -2.00 m/s2, what was the car\'s initi~l velocity?



.

6. The heaviest edible mushroom ever found (the so-called \"chicken of
the woods\") had a mass of 45.4 kg. Suppose such a mushroom is attached to a rope and pulled horizontally along a smooth stretch of ground, so that it undergoes a constant acceleration of +0.35 m/s2. If the mushroom is initially at rest, what will its velocity be after it has been displaced +64 m?





7. Bengt Norberg of Sweden drove his car 44.8 km in 60.0 min. The feature of this drive that is interesting is that he drove the car on two side wheels.
a. Calculate the car\'s average speed.
b. Suppose Norberg is moving forward at the speed calculated in (a). He then accelerates at a rate of -2.00 m/s2. After traveling 20.0 m, the car falls on all four wheels. What is the car\'s final speed while still traveling on two wheels?





8. Starting at a certain speed, a bicyclist travels 2.00 x 102 m. Suppose the bicyclist undergoes a constant acceleration of 1.20 m/s2. If the final speed is 25.0 mis, what was the bicyclist\'s initial speed?




9. In 1994, Tony Lang of the United States rode his motorcycle a short distance of 4.0 x 102 m in the short interval of 11.5 s. He started from rest and crossed the finish line with a speed of about 2.50 x 102 km/h. Find the magnitude of Lang\'s acceleration as he traveled the 4.0 x 102 m distance.





10. The lightest car in the world was built in London and had a mass of less than 10 kg. Its maximum speed was 25.0 km/h. Suppose the driver of this vehicle applies the brakes while the car is moving at its maximum speed. The car stops after traveling 16.0 m. Calculate the car\'s acceleration.


Hi, need some answers to these problems with the work. solve these physics problems involving velocity and displacement. please email for answers[SIZE=7]

Review:
Always include your units
Make everything use consistant units. Become familiar with the base units of SI (kg, m, s) and their derived units
Always write the equation you have chosen to use.
Know the rules of significant figures in an anwer -- the sqrt(2.0) = 1.4, not 1.414
Use conventional letters. a = acceleration, v = velocity, x (or s) = displacement, t = time
Use conventions, like a subscript of zero to indicate that it's the value of a variable at t=0, and a subscript of f if the variable is at its final value
a w^2 + b w + c = 0 & a != 0 => w = (b +/- sqrt(b^2-4ac))/(2a) ; Question, what if a = 0
x(t) = 1/2 a_0 t^2 + v_0 t + x_0 ; Question: why 1/2 ?
v(t) = a_0 t + v_0

1. In 1976, Kitty Hambleton of the United States drove a rocket-engine car to a maximum speed of 965 km/h. Suppose Kitty started at rest and underwent a constant acceleration with a magnitude of 4.0 m/s^2 What distance would she have had to travel in order to reach the maximum speed?
v_f = v(t) = 965 km/h * 1000 m/km * 1/3600 h/s
a_0 = 4.0 m/s^2
v_0 = 0 "at rest"
x_0 = 0 "by convention"
t = ( v(t) - v_0 ) / a_0
x(t) = ?
2. With a cruising speed of 2.30 x 10^3 km/h, the French supersonic passenger jet Concorde is the fastest commercial airplane. Suppose the landing speed of the Concorde is 20.0 percent of the cruising speed. If the plane accelerates at -5.80 m/s^2, how far does it travel between the time it lands and the time it comes to a complete stop?
v_0 = ( 0.200 ) * 2.30 * 10^3 km/h * 1000 m/km * 1/3600 h/s
a_0 = -5.80 m/s^2 ; Question: is this the same as deaccelerates at 5.80 m/s^2
x_0 = 0 "be convention"
v_f = v(t) = 0 "comes to a complete stop"
t = ( v(t) - v_0 ) / a_0 ; Question: is this positive or negative?
x(t) = ?
3. The Boeing 747 can carry more than 560 passengers and has a maximum speed of about 9.70 x 10^2 km/h. After take-off, the plane takes a certain time to reach its maximum speed. Suppose the plane has a constant acceleration with a magnitude of 4.8 m/s^2. What distance does the plane travel between the moment its speed is 50.0 percent of maximum and the moment its maximum speed is attained?
a_0 = 4.8 m/s^2
x_f = v(t) = 9.70 * 10^2 km/h * 1000 m/km * 1/3600 h/s
x_0 = 0 "by convention"
v_0 = 1/2 v(t)
x(t) = ?
4. The distance record for someone riding a motorcycle on its rear wheel
without stopping is more than 320 km. Suppose the rider in this unusual situation travels with an initial speed of 8.0 m/s before speeding up. The rider then travels 40.0 m at a constant acceleration of 2.00 m/s^2 What is the rider's speed after the acceleration?
x_f = x(t) = 40.0 m
x_0 = 0 "by convention"
v_0 = 8.0 m/s
a_0 = 2.00 m/s^2
x_f = 1/2 a_0 t^2 + v_0 t => t = (v_0 +/- sqrt(v_0^2 + 2 a_0 x_f))/(a_0); Question: Why do we choose + ?
v(t) = ?
5. The skid marks left by the decelerating jet-powered car The Spirit of America were 9.60 km long. If the car's acceleration was -2.00 m/s^2, what was the car's initial velocity?
x_f = x(t)= 9.60 km * 1000 m/km
x_0 = 0 "by convention"
v_f = 0 "assuming skid marks stop when car stops"
a_0 = -2.00 m/s^2
x_f = 1/2 a_0 t^2 + v_0 t + x_0 AND v_f = a_0 * t + v_0
so t = (v_f - v_0)/a_0
so x_f = 1/2 (v_f - v_0)^2/a_0 + v_0 (v_f - v_0)/a_0 + x_0
so v_f ^2 - 2 v_f v_0 + v_0 ^ 2 + 2 v_0 * v_f - 2 * v_0 ^2 + 2 * x_0 * a_0 - 2 x_f * a_0 = 0
so v_0^2 + (0) v_0 + (v_f^2 + 2 * a_0 ( x_0 - x_f ) ) = 0
v_0 = sqrt(2 * a_0 * x_f) = ? ; If you haven't seen this equation before, you will see it again
6. The heaviest edible mushroom ever found (the so-called "chicken of
the woods") had a mass of 45.4 kg. Suppose such a mushroom is attached to a rope and pulled horizontally along a smooth stretch of ground, so that it undergoes a constant acceleration of +0.35 m/s2. If the mushroom is initially at rest, what will its velocity be after it has been displaced +64 m?
a_0 = 0.35 m/s^2
x_0 = 0 "by convention"
v_0 = 0 "initially at rest"
x_f = x(t) = 64 m
1/2 a_0 t^2 + 0 t + 0 = x_f => t = sqrt( 2 * a_0 * x_f )
v_f = a_0 t + v_0 = ?
7. Bengt Norberg of Sweden drove his car 44.8 km in 60.0 min. The feature of this drive that is interesting is that he drove the car on two side wheels.
a. Calculate the car's average speed.
b. Suppose Norberg is moving forward at the speed calculated in (a). He then accelerates at a rate of -2.00 m/s^2. After traveling 20.0 m, the car falls on all four wheels. What is the car's final speed while still traveling on two wheels?
x_0 = 0 "by convention"
x_f = 44.8 km * 1000 m/km
t_f = 60.0 min * 60 s/min
average speed = (x_f - x_0) / (t_f - t_0) = ?
---
New problem
v_0 = ? (see above)
x_0 = 0 "by convention"
a_0 = -2.00 m/s^2
x_f = 20.0 m
1/2 a_0 t^2 + v_0 t + (x_0 - x_f) = 0 => t = ( -v_0 +/- sqrt(v_0^2 + 2 * a_0 * x_f)) / a_0 ; Question: what would the physical meaning be if we chose the other sign?
v_f = a_0 t + v_0 = sqrt(v_0^2 + 2 * a_0 * x_f) = ?
8. Starting at a certain speed, a bicyclist travels 2.00 x 10^2 m. Suppose the bicyclist undergoes a constant acceleration of 1.20 m/s^2. If the final speed is 25.0 m/s, what was the bicyclist's initial speed?
v_f = 25.0 m/s
x_0 = 0
x_f = 200. m
a_0 = 1.2 m/s^2
1/2 a_0 t^2 + v_0 t + x_0 = x_f AND v_f = a_0 * t + v_0
so t = (v_f - v_0) / a_0
so (v_f^2 - 2 v_f v_0 + v_0^2) + 2 v_0 v_f - 2 * v_0 ^ 2 - 2 a_0 (x_f - x_0) = 0
so -v_0^2 + (0) v_0 + v_f^2 - 2 a_0 x_f = 0
so v_0 = sqrt(v_f^2 - 2 a_0 x_f ) = ?
9. In 1994, Tony Lang of the United States rode his motorcycle a short distance of 4.0 x 10^2 m in the short interval of 11.5 s. He started from rest and crossed the finish line with a speed of about 2.50 x 10^2 km/h. Find the magnitude of Lang's acceleration as he traveled the 4.0 x 10^2 m distance.
t_0 = 0 "by convention"
t_f = 11.5 s
v_0 = 0 "He started from rest"
v_f = 250. km/h * 1000 m/km * 1/3600 h/s
average acceleration = (v_f - v_0)/(t_f - t_0) = ?
10. The lightest car in the world was built in London and had a mass of less than 10 kg. Its maximum speed was 25.0 km/h. Suppose the driver of this vehicle applies the brakes while the car is moving at its maximum speed. The car stops after traveling 16.0 m. Calculate the car's acceleration.
v_0 = 25.0 km/h * 1000 m/km * 1/3600 h/s
v_f = 0 "the car stops"
x_0 = 0
x_f = 16.0 m
x_f = 1/2 a_0 t^2 + v_0 t + x_0 AND v_f = a_0 * t + v_0
so t = (v_f - v_0)/a_0 = -v_0/a_0
so 2 a_0 x_f = v_0^2 - 2 v_0^2
so a_0 = -v_0^2/(2 x_f) = ? ; This is a negative number, why does that make sense?

ok can some one please show me how to get the answer to problem 1

why did you put time in every equation? most of the problems don't give you tima and they do not say to solve for them.