Tadeh launches a model rocket straight up from his backyard that takes 6.65 s to
ID: 1652281 • Letter: T
Question
Tadeh launches a model rocket straight up from his backyard that takes 6.65 s to reach its maximum altitude. (After launch, the rocket's motion is only influenced by gravity. Enter magnitudes only.) (a) What is the rocket's Initial velocity? m/s (b) What is the maximum altitude reached by the rocket? m In a cartoon program, Peter tosses his baby, Stewie, up Into the air to keep the child entertained. Stewie reaches a maximum height of 0.856 m above the release point. Suppose the positive y axis points upward. (a) With what initial velocity was Stewie thrown? (Express your answer in vector form.) m/s (b) How much time did it take Stewie to reach the peak height?Explanation / Answer
Given,
t = 6.65 s
a)At the maximum altitude ; v = 0.
from eqn of motion
v = u + at
0 = u - 9.8 t =>u = 9.8 x t
u = 9.8 x 6.65 = 65.17 m/s
Hence, u = 65.17 m/s
b)from another eqn we know that
v^2 = u^2 + 2 a S
0 = 65.17^2 - 2 x 9.8 x S => S = 65.17^2/2 x 9.8 = 216.7 m
Hence, S = 216.7 m
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