A projectile is fired vertically upward with a speed of 62 m/s.In the absence of air resistance,the maximum height the projectile attains is
A)25 km
B)98 m
C)200 m
D)19 km
E)3 m

Question

Quizplus · Accepted Answer

Using the kinematic equation for vertical motion:
Δy = v₀t + 1/2gt²
where 
Δy = maximum height
v₀ = initial velocity = 62 m/s (upward)
g = acceleration due to gravity = 9.81 m/s² (downward)
t = time taken to reach maximum height (when the velocity becomes zero)

At the maximum height, the final velocity is zero.
Using the kinematic equation for velocity:
v = v₀ + gt
0 = 62 - 9.81t
t = 6.31 s

Substituting t in the first equation:
Δy = 62(6.31) - 1/2(9.81)(6.31)²
Δy ≈ 198.6 m

Therefore, the maximum height the projectile attains is approximately 200 m, which is closest to choice C.

A Projectile Is Fired Vertically Upward with a Speed of 62