A particle is thrown vertically with a velocity 50ms^2.How high would the particle rise and what time would it take to reach the highest point? (g=10 ms ^2)
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Explanation:
GIVEN:
A PARTICLE IS THROWN VERTICALLY WITH INITIAL VELOCITY OF 50 M /S
g=10 m/s^2
TO FIND:
• MAXIMUM HEIGHT
•TIME TAKEN.
CONCEPT:
IF ANY PARTICLE IS THROWN VERTICALLY UP THEN IT'S FINAL VELOCITY BECOMES 0 M/S WHEN ITS REACHES AT THE MAXIMUM HEIGHT.
FORMULAS TO BE USED:
•V^2=U^2-2gs
•V=U-gt
SOLUTION:
FINDING THE MAXIMUM HEIGHT:
=>V^2=U^2-2gs
=>0=50^2-2×10×S
=>0=2500-20S
=>-2500=-20S
=>S=-2500/-20=125 metre.
NOW FINDING THE TIME TAKEN:
=>V=U-gt
=>0=50-10t
=>-50= -10t.
=>t=-50/-10=5 seconds.
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