Pick a topic on the left, open a problem and check the solution hint by hint.
The figure shows the graph of the velocity of a car versus time (velocity in m/s, time in seconds). Find the acceleration of the car on each stage of the motion, the distance travelled and the average speed over the whole motion.
A boat travels along a river at a speed of $v_{\text{boat}} = 15$ km/h relative to the water. The speed of the current is $v_{\text{cur}} = 3$ km/h. Find the speed of the boat relative to the bank downstream and upstream.
A shell leaves a cannon at an angle $\alpha = 45°$ to the horizontal with speed $v_0 = 100$ m/s. Find the maximum height and the flight time of the shell. Neglect air resistance; $g = 10$ m/s².
A body is thrown at an angle $\alpha = 30°$ to the horizontal with speed $v_0 = 15$ m/s. Find the range of the body (the horizontal distance). The acceleration due to gravity is $g = 10$ m/s²; neglect air resistance.
A stone is thrown horizontally with speed $v_0 = 10$ m/s from a height $h = 20$ m. Find the range of the stone (the horizontal distance from the point of release to the landing point). $g = 10$ m/s², neglect air resistance.
A body is thrown vertically upward with speed $v_0 = 20$ m/s. Find the maximum height the body reaches. Neglect air resistance; the acceleration due to gravity is $g = 10$ m/s².
A car accelerates uniformly from rest with acceleration $a = 2$ m/s². Find the distance the car travels in time $t = 10$ s.
The car traveled the first 30 minutes at 60 km/h and the next 20 minutes at 90 km/h. Find the average speed of the car for the whole trip.