1. The figure shows a graph of the dependence of the body velocity modulus on time. Find the path traveled by the body during the time from time 0 s to time 5 s. (Give your answer in meters.)
2. The figure shows a graph of the dependence of the vehicle speed modulus on time. Determine from the graph the distance traveled by the car in the interval from time 0 s to time 5 s after the start of the countdown. (Give your answer in meters.) 
3. Point body moves along the horizontal axis Ox. The figure shows a graph of the projection of the velocity vx of this body versus time t. Determine the distance traveled by the body during the time interval from 2 s to 6 s. Express your answer in m. 
4. The figure shows a graph of the cyclist’s path S versus time t. 
Determine the time interval after the start of time when the cyclist was moving at speed
1) from 50 s to 70 s
2) from 30 s to 50 s
3) from 10 s to 30 s
4) from 0 to 10 s
5. The motorcycle is traveling on a straight road with constant speed 50 km/h. A car is traveling along the same road in the same direction at a constant speed of 70 km/h. Why modulus is equal speed of the motorcycle relative to the car? (Give your answer in kilometers per hour.)
6. The figure shows a graph of the cyclist’s coordinate x versus time t. What is the largest modulus of the projection of the cyclist's speed onto the Ox axis? Express your answer in m/s. 
1. How long will it take a fast train 300 m long, traveling at a speed of 72 km/h, to pass an oncoming freight train 600 m long, traveling at a speed of 36 km/h?
2. A cyclist, having traveled 4 km at a speed of 12 km/h, stopped and rested for 40 minutes. He drove the remaining 8 km at a speed of 8 km/h. Find average speed cyclist all the way.
Option 1.
Using the graph of the modulus of the body’s velocity versus time presented in the figure, determine the path traveled by the body from time 0 s to time 2 s.
OX t in lawx ( t ) = 5 − 10 t + 2t 2 V of this body on the axisOX from time? Why? (prove it). Plot a graph of the projection of the acceleration of this body versus time.
A body accelerates along a straight section of path, and the dependence of the distance traveled by the bodyS from time to timet has the form:s=4 t+ t 2 t
Which graph shows the projection of the body's acceleration in the time interval from 10 to 20 s?
Option 2.
The figure shows a graph of the vehicle speed modulus versus time. Determine from the graph the distance traveled by the car in the interval from time 0 s to time 5 s after the start of the countdown. (Give your answer in meters.)
The figure shows a graph of the path versus time. Using the graph, determine the speed of movement of the cyclist in the interval from time 1 s to time 3 s after the start of movement. (Give your answer in meters per second.)
The figure shows a graph of the projection of body velocityV x from time to time.
Graph of the projection of the acceleration of this body versus timea xin the time interval from 8 to 10 s coincides with the schedule
At straight motion body coordinate dependencex from time to timet has the form:x=5+2 t+4 t 2 . What is the speed of the body at the moment of time?t = 2 s with this movement? (Give your answer in meters per second.)
A point body moves along an axisOX . Coordinate dependencex of this body from time to timet has the form:x( t)= (5- t) 2 . Which of the figures below correctly depicts the projection relationship?a acceleration of this body on the axisOX from time?
The car starts from rest and moves with constant acceleration5 m/s 2 . How far did the car travel if its speed at the end of the journey was equal to15 m/s ? (Give your answer in meters.)
Which the distance will go the car comes to a complete stop if the driver brakes sharply at speed60 km/h , and from the start of braking to stopping passes6s ?
Option 3.
The figure shows a graph of the dependence of the body velocity modulus on time. How far does the body travel in the second second?
A point body moves along a horizontal axisOX . At the same time, its coordinate changes over timet in lawx ( t ) = 10 + 5 t − t 2 (all values are given in SI units). Which one following charts corresponds to the velocity projection dependence graphV of this body on the axisOX from time? Prove it.
Coordinate dependencex bodies from time to timet has the form:x=1+4 t-2 t 2 . What is the projection of the body’s velocity onto the axis?Ox at a point in timet = 1 s with this movement? (Give your answer in meters per second.)
The figure shows a graph of the projection of the body's velocity versus time.
Which graph shows the projection of the acceleration of the body in the time interval from 0 to 6 s?
