3. An object is moving in a straight line with constant acceleration. Initially

Question

3. An object is moving in a straight line with constant acceleration. Initially it is travelling at 16 m/s. Three seconds later it is traveling at 10 m/s. How far does it move during this time? a. 26 m b. 30 m c. 39 m d. 48 m 4. A jet fighter accelerates on a runway at constant rate starting from rest at t-0. Between t-3s and t-5s it moves 16 m. How far will it displace between times 1-1s and 9s? (Hint: Draw a general plot of velocity as a function of time starting at t-0. Recall: which quantitative feature of the plot gives you the displacement over the time interval between any given times ti and t,? Compare this quantity for the two time intervals given above to answer the question.) a. 32 m b. 28 m c. 22 m d. 18 m e. 16 m

Explanation / Answer

here,

initial speed , u = 16 m/s

final speed , v = 10 m/s

time taken , t = 3 s

let the accelration be a

v = u + a * t

10 = 16 + a * 3

solving for a

a = - 2 m/s^2

the distance travelled , s = u * t + 0.5 * a * t^2

s = 16 * 3 - 0.5 * 2 * 3^2 m

s = 39 m

the distance travelled is c) 39 m  

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