Q3. GTO Classic car (20 pts) A GTO leaves a tunnel (x : 0) with a speed of 13.4

Question

Q3. GTO Classic car (20 pts) A GTO leaves a tunnel (x : 0) with a speed of 13.4 m/s at time, t # 0, and immediately accelerates with a magnitude of 4.00 m/s in a straight line in negative direction for a distance of 90.0m, reaching maximunm velocity. The car then decelerates to a full stop with a magnitude of 2.00m/s·The car immediately turns around and accelerates with a magnitude of 3.00m/s for 6.00s What maximum velocity did the car attain before starting to decelerate? 4 pts) a. (4pts) b. How much time, t, has passed before the car turned around? u.15s (4pts) What is the car's total displacement from the tunnel after completing all stages of its trip? c.

Explanation / Answer

b) For the acceleration,

c) for first acceleration, s=90 m

for deceleration:

v2-u2 = 2as

0-302 = -2*2*s

s=225 m

total distance in -ve x direction = 315 m

during second acceleration,

s=ut + 0.5at2 = 0+0.5*3*62

s=54 m in +ve x direction

displacement = 315-54 = 261 m in -ve x direction

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