# 1) A car starts from rest and moves along the X axis with constant acceleration `5 m/s^2` for `8` seconds. If it then continues will constant velocity, what distance will the car cover in `12` seconds...

1) A car starts from rest and moves along the X axis with constant acceleration `5 m/s^2` for `8` seconds. If it then continues will constant velocity, what distance will the car cover in `12` seconds since it started from the rest?

2) A motorcyclist drives from A to B with a uniform speed of 30 km per hour and returns back with a speed of 20 km per hour. Find its average speed.

3) The velocity-time graph given below shows the motion of a cyclist. Find: 1) its acceleration 2) its velocity 3) the distance covered by the cyclist in a second.

4) An object starting from rest travels 20 meter in first 2 seconds and 160 meters in next 4 seconds, what will be the velocity after 7 seconds from the start?

Borys Shumyatskiy | Certified Educator

calendarEducator since 2015

starTop subjects are Math and Science

Hello!

When the acceleration `a` is constant, the speed `V` is equal to `V(t)=V_0+at,` where `V_0` is the initial speed. The distance traveled is `D(t)=V_0 t+(a t^2)/2.`

1 ) The final speed is `V_1=V_0t+at=0+5*8=40(m/s).` The distance of accelerated motion is `0+(5*8^2)/2=160(m),` the distance of constant speed motion is...

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