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An object is launched at a velocity of 20 / in a direction
making an angle of 25° upward with the horizontal. What is the
maximum height reached by the object? What is the total flight time
(between launch and touching the ground) of the object? What is the
horizontal range (maximum x above ground) of the object? What is the
magnitude of the velocity of the object just before it hits the

Sagot :

Bharathparasad577idn

When an object is thrown with an angle with horizontal, it makes projectile motion

It is given that angle of projectile was 25 degree

The formulas of projectile motion is as follows:

component of velocity at time t = Vxcos[tex]\alpha[/tex]

time of maximum  height= vsin[tex]\alpha[/tex] /g

maximum height = (v sin[tex]\alpha[/tex] )^2/2g

horizontal range = v^2 sin2[tex]\alpha[/tex]/g

v is given to be 20 m/s

time of flight is given by v 2sin[tex]\alpha[/tex]/g

therefore, time of flight = 20 x 2x0.4226 /10 = 1.690 seconds

maximum horizontal range = 20 x 20 x 0.766/10 =30.641 meters

Disclaimer: The value of acceleration due to gravity is assumed to be 10 m/s^2 also the speed of velocity has no unit and hence m/s has been considered

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