Question

21 Notice: I show your work. 2) holding or looking rear cell phone considered cheating Problem 1 The graph shows the velocity as a function of time of a particle travelling in a straight line. Construct the acceleration-time graph. If the initial position of the particle is 5 m, determine its position at t-30 s. Also determine the distance travelled between t-20 and 30s V(m/s) 20 20 30 tis Problem 2 Determine the speed of block B if end A of the cord is pulled as shown at a speed of 1 m/s. Problem 3 A car has an initial speed of 70km/h and is accelerating at 6000km/hr along a straight line. What time and what distance will it take the car to reach a speed of 120 km/hr?

Answer 1

given data 30 dv dt dt ta S2 S1 S2-S1- Avea under velocity Cume vetuean 3as nt 20 See 10x20 distane tvelled batueem 100m s Sec and o See t5 seeaucabratin s Gnslaent= 20 l 5&c to d See acse xation iS 2eno deacabrtion is Gn stunt to 3 See See acm 30 5 See Sm) 3 . Ssee

S2 as 30se 4PA Sa-s) = s)isr2)+a 10 50t 300 t loo 4 50 S2 455 SA- A VB= 2 VAZ MISea SAt 288-L VAt avB= VA-VB VB-VA 112 VB-O.5MSec PRisite to A mive

P3 u70 Km hY Go00 knlhv tim -1 120 kmla 7t 6000 (t) 50 o.60g 33 hy t Goo0 t-30Sec Se ut tet2 -tox 000833 txCoox oo0 31) 0-58 33 t O208 3 0T9112 Em
the things to consider while drawing an acceleration diagram from the velocity diagram are, if velocity is increasing linearly, then the acceleration is constant and positive. If velocity is drecreasing linearly then the acceleration is constant and negative. If velocity is constant then the acceleration is zero.