Basic suvat Questions

Basic suvat questions

1. A dog strapped to a trolley is accelerated uniformly from rest, so that after 10 seconds it has achieved a speed of 15 m.s^-1. Find its acceleration and the distance it has covered.
2. A car accelerates uniformly from rest and after 12 seconds has covered 40m. What are its acceleration and its final velocity?
3. A train is uniformly retarded from 35 m.s^-1 to 21 m.s^-1 over a distance of 350 m. Calculate the retardation and the time taken to come to rest from the 35 m.s^-1.
4. A particle is accelerated from 1 m.s^-1 to 5 m.s^-1 over a distance of 15 m. Find the acceleration and the time taken.
5. A car accelerates uniformly from 5 m.s^-1 to 15 m.s^-1 taking 7.5 seconds. How far did it travel during this period.
6. A particle moves with uniform acceleration 0.5 m.s^-2 in a horizontal line ABC. The speed of the particle at C is 80 m.s^-1 and the times taken from A to B and from B to C are 40 and 30 seconds respectively. Calculate (a) Speed at A  (b) Distance BC
7. Initial velocity 5 m.s^-1, final velocity 36km/hr, acceleration 1.25 m.s^-2. Distance?
8. A car accelerates from rest with acceleration 0.8 m.s^-2  for 5 seconds. Find the final velocity
9. A train starts from rest and accelerates uniformly at 1.5 m.s^-2 until it attains a speed of 30 m.s^-1. Find the time taken and the distance travelled.
10. A train carrying a shipment of frozen dogs travels along a straight piece of track between 2 stations A and B. The train starts from rest at A and accelerates at 1.25 m.s^-2 until it reaches a speed of 20 m.s^-1. It then travels at this speed for a distance of 1560m and then decelerates at 2 m.s^-2 to come to rest at B. Find(a) Distance from A to B(b) Total time taken for the journey(c) Average speed for the journey
11. A car is being driven along a road at 25 m.s^-1 when the driver suddenly notices that there is a dead dog blocking the road 65 m ahead. The driver immediately applies the brakes giving the car a constant retardation of 5 m.s^-2. How far in front of the dog does the car come to rest?
12. A rifle is fired at a dog. In travelling the 70 cm along a rifle barrel, the bullet uniformly accelerates from rest to a velocity of 210 m.s^-1. Find the acceleration involved and the time taken for which the bullet is in the barrel.

Answers

1) 1.5 ms^-2 ; 75m    2) 0.55 ms^-2 ;  6.67 ms^-1  3) -1.12 ms^-2  ; 31.25 secs    4) 5 secs;  0.8 ms^-2      5) 75m      6)  45 ms^-1 ; 2175m     7) 30m   8) 4ms^-1     9) 300m; 20secs   10)(a) 1820m      (b) 104 secs (c) 17.5ms^-1  11) 2.5m before the tree   12)31500 ms^-2 ; 0.0067 secs.