A rocket initially at rest accelerates at a rate of 99.0 meters/second2. Calculate the distance covered by the rocket if it attains a final velocity of 445 meters/second after 4.50 seconds.
A. 2.50 × 10^2 meters
B. 1.00 × 10^3 meters
C. 5.05 × 10^2 meters
D. 2.00 × 10^3 meters
E. 1.00 × 10^2 meters

Question

A rocket initially at rest accelerates at a rate of 99.0 meters/second2. Calculate the distance covered by the rocket if it attains a final velocity of 445 meters/second after 4.50 seconds.
A. 2.50 × 10^2 meters
B. 1.00 × 10^3 meters
C. 5.05 × 10^2 meters
D. 2.00 × 10^3 meters
E. 1.00 × 10^2 meters

anonymous · Answer

u=0 m/s
v=445 m/s
t=4.50 s=450/100 =9/2s
a=-99m/s^2
s=ut+1/2 a t^2
s=0*9/2+1/2*(-99)*(9/2)^2
s=0+1/2*(-99)*9/2*9/2
s=-8019/8m=-1002.375m=1.00*10^3 meters (absolute)